{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Huge Stock Market Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook will be performed:\n",
    "1. Importing Libraries\n",
    "2. Preprocessing\n",
    "3. Tesla Stock Market Analyis\n",
    "4. Tesla ARIMA (AutoRegressive Integrated Moving Average) Time Series Prediction\n",
    "5. Microsoft Stock Market Analyis\n",
    "6. Microsoft ARIMA (AutoRegressive Integrated Moving Average) Time Series Prediction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Importing Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n",
    "import os\n",
    "from subprocess import check_output\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import warnings\n",
    "from pandas.plotting import lag_plot\n",
    "from pandas import datetime\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from sklearn.metrics import mean_squared_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "_cell_guid": "b1076dfc-b9ad-4769-8c92-a6c4dae69d19",
    "_uuid": "8f2839f25d086af736a60e9eeb907d3b93b6e0e5"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Data']\n",
      "ETFs\n",
      "Stocks\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# This Python 3 environment comes with many helpful analytics libraries installed\n",
    "# It is defined by the kaggle/python docker image: https://github.com/kaggle/docker-python\n",
    "# For example, here's several helpful packages to load in \n",
    "\n",
    "# Input data files are available in the \"../input/\" directory.\n",
    "# For example, running this (by clicking run or pressing Shift+Enter) will list the files in the input directory\n",
    "\n",
    "print(os.listdir(\"../input\"))\n",
    "\n",
    "print(check_output([\"ls\", \"../input/Data\"]).decode(\"utf8\"))\n",
    "\n",
    "# Any results you write to the current directory are saved as output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#print(check_output([\"ls\", \"../input/Data/Stocks\"]).decode(\"utf8\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tesla Stock Market Analyis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>OpenInt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2010-06-28</td>\n",
       "      <td>17.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2010-06-29</td>\n",
       "      <td>19.00</td>\n",
       "      <td>25.00</td>\n",
       "      <td>17.54</td>\n",
       "      <td>23.89</td>\n",
       "      <td>18783276</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2010-06-30</td>\n",
       "      <td>25.79</td>\n",
       "      <td>30.42</td>\n",
       "      <td>23.30</td>\n",
       "      <td>23.83</td>\n",
       "      <td>17194394</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2010-07-01</td>\n",
       "      <td>25.00</td>\n",
       "      <td>25.92</td>\n",
       "      <td>20.27</td>\n",
       "      <td>21.96</td>\n",
       "      <td>8229863</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2010-07-02</td>\n",
       "      <td>23.00</td>\n",
       "      <td>23.10</td>\n",
       "      <td>18.71</td>\n",
       "      <td>19.20</td>\n",
       "      <td>5141807</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Date   Open   High    Low  Close    Volume  OpenInt\n",
       "0  2010-06-28  17.00  17.00  17.00  17.00         0        0\n",
       "1  2010-06-29  19.00  25.00  17.54  23.89  18783276        0\n",
       "2  2010-06-30  25.79  30.42  23.30  23.83  17194394        0\n",
       "3  2010-07-01  25.00  25.92  20.27  21.96   8229863        0\n",
       "4  2010-07-02  23.00  23.10  18.71  19.20   5141807        0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"../input/Data/Stocks/tsla.us.txt\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "         Date   Open   High    Low  Close    Volume  OpenInt\n",
      "0  2010-06-28  17.00  17.00  17.00  17.00         0        0\n",
      "1  2010-06-29  19.00  25.00  17.54  23.89  18783276        0\n",
      "2  2010-06-30  25.79  30.42  23.30  23.83  17194394        0\n",
      "3  2010-07-01  25.00  25.92  20.27  21.96   8229863        0\n",
      "4  2010-07-02  23.00  23.10  18.71  19.20   5141807        0\n",
      "(1858, 7)\n",
      "Index(['Date', 'Open', 'High', 'Low', 'Close', 'Volume', 'OpenInt'], dtype='object')\n"
     ]
    }
   ],
   "source": [
    "print(df.head())\n",
    "print(df.shape)\n",
    "print(df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['Close']].plot()\n",
    "plt.title(\"Tesla\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Tesla Cumulative Returns')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Comulative Return\n",
    "dr = df.cumsum()\n",
    "dr.plot()\n",
    "plt.title('Tesla Cumulative Returns')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Tesla Autocorrelation plot')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "lag_plot(df['Open'], lag=5)\n",
    "plt.title('Tesla Autocorrelation plot')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARIMA (AutoRegressive Integrated Moving Average) for Time Series Prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'2017-11-10'"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Date'][1857]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f4d054e5d68>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train_data, test_data = df[0:int(len(df)*0.8)], df[int(len(df)*0.8):]\n",
    "plt.figure(figsize=(12,7))\n",
    "plt.title('Tesla Prices')\n",
    "plt.xlabel('Dates')\n",
    "plt.ylabel('Prices')\n",
    "plt.plot(df['Open'], 'blue', label='Training Data')\n",
    "plt.plot(test_data['Open'], 'green', label='Testing Data')\n",
    "plt.xticks(np.arange(0,1857, 300), df['Date'][0:1857:300])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def smape_kun(y_true, y_pred):\n",
    "    return np.mean((np.abs(y_pred - y_true) * 200/ (np.abs(y_pred) + np.abs(y_true))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'list'>\n",
      "Testing Mean Squared Error: 40.550\n",
      "Symmetric mean absolute percentage error: 26.015\n"
     ]
    }
   ],
   "source": [
    "train_ar = train_data['Open'].values\n",
    "test_ar = test_data['Open'].values\n",
    "\n",
    "# https://machinelearningmastery.com/arima-for-time-series-forecasting-with-python/\n",
    "history = [x for x in train_ar]\n",
    "print(type(history))\n",
    "predictions = list()\n",
    "for t in range(len(test_ar)):\n",
    "    model = ARIMA(history, order=(5,1,0))\n",
    "    model_fit = model.fit(disp=0)\n",
    "    output = model_fit.forecast()\n",
    "    yhat = output[0]\n",
    "    predictions.append(yhat)\n",
    "    obs = test_ar[t]\n",
    "    history.append(obs)\n",
    "    #print('predicted=%f, expected=%f' % (yhat, obs))\n",
    "error = mean_squared_error(test_ar, predictions)\n",
    "print('Testing Mean Squared Error: %.3f' % error)\n",
    "error2 = smape_kun(test_ar, predictions)\n",
    "print('Symmetric mean absolute percentage error: %.3f' % error2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f4d05471f28>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Hv0656aabuP3226O2Dx06tPm9PPfcc1Hv31W/REREpPeJHJX+3gZnm9rgbBd/ubhTi8gETIAsdxHnRhNqN5joN/Qy/T64LllZQv6cfBJmJZA/J79LVhpKTU1lxYoVrFq1iuTkZO6+++6w89Zampo6XhPytNNOY+bMma2e72xw3Zarr76aFStW8Pe//52f/exnLfodDAZ32S8RERHpO1J9OdedWURm2vhpDPKCa18kGkgI9IkVH/t1cO2fBRurpTyPOuoo1q5dS2lpKYcccghTp07lsMMOY/369bzyyitMmDCBcePGcfbZZ1NVVQXAyy+/zPDhwxk3blzzSokADz74IL/85S8B+OabbzjjjDMYM2YMY8aM4a233mLmzJl8/vnnjB07lt/85jcA3HbbbXznO99h9OjR3Hjjjc3PKi4u5uCDD2bSpEl89tlnu3wfhx56KImJiWzZsoWLLrqIyy+/nO9+97tce+21u+wXwKOPPsoRRxzB2LFjueyyy2hs7Btf/YiIiPRFXowUjTdyDaG87I6YmDuxObj2KpAABJuCfWLFxz5fLeSYB49p0faTkT9h+nemc/2i66luCE/ZqG6oZsZLMygcVciW6i2c9cRZYedfu+i1dr92MBjkpZde4sQTTwRgzZo1PPTQQxx55JFs2bKFP/7xjyxatIj09HRuueUW/vznP3Pttdfy85//nCVLlnDggQdyzjnnRH32r371K44++miefvppGhsbqaqqYvbs2axatYoVK1YA8Morr7BmzRree+89rLWcdtppvP7666Snp/PYY4+xYsUKgsEg48aNY/z48W2+l3fffZeEhASGDBkCwIYNG3jrrbcIBAI8+OCDbfZr9erVPP744yxdupSkpCSmT59OSUkJU6dObffvUkRERLqPVylk6oqW51J3s1pI0eIifuoG1QnAaZ/Cc8OdY6/sX2/W54PrtmzYsSFqe3lN+W49t6amhrFjxwLOyPUll1zCxo0bycvL48gjjwTgnXfe4ZNPPmHixIkA1NfXM2HCBD799FP2339/DjroIADOP/985s9vOXt2yZIlPPzww4CT452VlcW2bdvCrnnllVd45ZVXOPzwwwFnxcY1a9ZQWVnJGWecQVpaGuCkm7Tmjjvu4NFHHyUzM5PHH38cY5x8qLPPPptAINCufj3yyCMsX76c73znO82/nz333LM9v0oRERHpAd6I9EPP+NoGwoDG8JHrkw86uVPP9hakARi3KRRcB0zL2KK36fPBdVsjzblZuVE/IeVl5QGwR9oeHRqp9ng515HS09Ob9621TJkyhQULFoRdE+2+zrLWcv3113PZZZeFtc+ZM6fdz7j66qu55pprWrT730t7+nHhhRfypz/9qd33iIiISM+JFiON/AU8/Vj4yPXdy5x5ZR2pT52blUtqQ+jZmzJC5/pCxZB+nXNdPLmYtKS0sLbO1mzsqCOPPJKlS5eydu1aAHbu3Mm///1vhg8fTmlpKZ9//jlAi+DbM3nyZObNcwquNzY2UlFRQWZmJpWVlc3XnHDCCdx///3NudxfffUVmzdv5vvf/z7PPPMMNTU1VFZW8vzzz3fZ+4rWr8mTJ7Nw4UI2b94MwNatWykr6/1f+4iIiPRVkTHSpzlQNQBqkmCvqtB1Fsvdy+7u0Hy14snFpDZA0C0OMsAXT3sDnL1Zvw6uC0cVMv/U+eRl5WEw5GXlMf/U+Z2q2dhRQ4YM4cEHH+SnP/0po0ePbk4JSUlJYf78+ZxyyimMGzeu1fSJO++8k1dffZVRo0Yxfvx4PvnkE3Jycpg4cSKHHXYYv/nNb/jBD37Aeeedx4QJExg1ahRnnXUWlZWVjBs3jnPOOYcxY8Zw0kknNadrdIVo/RoxYgR//OMf+cEPfsDo0aOZMmUKmzZt6rLXFBERka7lxUieewqc7cjNcOA22Hxr6FqL7dBExMJRheTUDmWLG7unuyki3TXAGWvGWtvTfei0goICu2zZsrC21atXc+ihh/ZQj2R36G8nIiISZ9y5Vr84GeYeAfYm3yn/PoamG9tfZnjRARMZVvEWB22F2RPhxikBpo2fFtfLnxtjlltrC3Z1Xb8euRYRERGR6PypHnW7mGfY0aohtmkjNUmwMwnSgk6u9UMfPqQ61yIiIiLSN/3uf3/bvF/XRgkMg2mRzjH9hekk3pyImWVIvDmR6S9Mbz5XsrIEm1BKTSLsTA6lhVQ3VKvOtYiIiIj0Td+UhxaIqXEjxusnw58Wu40WME7OtX++2vQXpjNv2TwSGyEANAYambfMKXYwMXciU5+aymtBZ3JkdRKk7eaiNPFGI9ciIiIiEqZkZUlYyb3qJGc7+6hQW8BNsc5JzQm7d/5yZyLkh/PglUdC7Xcvu5vLnr+M7J1NHLUOahOddBN/tZDOLEoTbzRyLSIiIiJhihYXkeILrmuSWl6T2ASNUXKxG20jmbUwYovzY5rAJjgj3DsbdnL7Eue6JuOkmwxwX6evVAvRyLWIiIiIhFlXsS4sXaPGNxy7fYCzDbgF57bWbG0+501I9K/AmFcR/mxvFPxXJ4WPXHdXOeRYU3AdI8888wzGGD799NNdXvvggw+ycePGTr/Wa6+9xg9/+MOo7VlZWYwdO5ZDDz2UWbNmRb1/48aNnHXWWZ1+fREREelbcrNywwLkat/I9c1HO1svLcSfyjHjpRnO9t3Q9aO+CX92YwJUJ0LpYKgPOCPXCSahTwTWoOA6ZhYsWMCkSZNaXWHRb3eD67YcddRRrFixgmXLlvHoo4/yr3/9K+x8MBhk3333ZeHChTF5fREREel9iicXk90woPnYSwtJTEik0Y0eE5tapnKU15STFITrloaedVBoYBtwgmmv+khdIiQ30mcCa1BwHRNVVVW8+eab3HfffTz22GNh52655RZGjRrFmDFjmDlzJgsXLmTZsmUUFhYyduxYampqyM/PZ8uWLQAsW7aMY445BoD33nuPCRMmcPjhh/O9732Pzz77rN19Sk9PZ/z48axdu5YHH3yQ0047jeOOO47JkydTWlrKYYcdBjhLll9zzTUcdthhjB49mr/85S8ALF++nKOPPprx48dzwgknaIVFERGRPqxwVCGTBkxuPvbSQgyGQEI6AENT94mayrFPVdhh2Ah4TmoOe9eOaK6b7aWF3HD0DYCTVpI/J5+EWQnkz8nvlXWv+/aExquughUruvaZY8fCnDltXvLss89y4okncvDBB5OTk8Py5csZP348L730Es8++yzvvvsuaWlpbN26lezsbO666y5uv/12CgraXvRn+PDhvPHGGyQmJrJo0SJ++9vf8uSTT7ar2+Xl5bzzzjv8/ve/5/333+df//oXH330EdnZ2ZSWljZfN3/+fEpLS1mxYgWJiYls3bqVhoYGrrzySp599lmGDBnC448/TlFREffff3+7XltERER6n9Ly15v3G9xguKGpARPIBHay6PTl7DVqn+ZrvEB438rw53jBtcFZ7bHafEJdIIH7Tvsf0h+4hwHB93jykye57a3bKK8pb76vrKKM8586nwc+eIBFUxd1/RuMkb4dXPeQBQsWMGOGk3N07rnnsmDBAsaPH8+iRYu4+OKLSUtLAyA7O7tDz62oqODCCy9kzZo1GGNoaGjY5T1vvPEGhx9+OAkJCcycOZORI0fy/vvvM2XKlKivv2jRIi6//HISExOb+7hq1SpWrVrFlClTAGd0e5999mlxr4iIiPQNJStLCNSGhqB3hDJE2IGT5/HxNx+wF6F4wFsA5oS14c/ygmuLpbymnAGNUJ/YxC9e/AV/T85jWCXc9H83URusBWBiGXyeDV9nOvct/nIx01+YHtdLo/v17eB6FyPMsbB161aWLFnCypUrMcbQ2NiIMYbbbrut3c9ITEykqcmZJVBbW9vc/vvf/55jjz2Wp59+mtLS0uZ0kbYcddRR/OMf/2jRnp6e3u7+WGsZOXIkb7/9drvvERERkd6raHERp7lB8V7XQK1vQmNK4mBgG8s2vslxnNzc7i0AM96XOVqTGFqBcf+tcPYnbs51AGqDtWxN/YLkRmf/pH/D2mx48wHn+gOvhM/dEtrzl8/vNcG1cq672MKFC7ngggsoKyujtLSU9evXs//++/PGG28wZcoUHnjgAaqrqwEnEAfIzMyksjL0HUp+fj7Lly8HCEv7qKioYOjQoYAzCTIWpkyZwj333EMwGGzu4yGHHMK3337bHFw3NDTw8ccfx+T1RUREpOetq1jXvIiMf9QaYGz6mQA01YV/g+5VDUltgLeGgbnJCZa9kesn/g63LIJDykMTGmsSG5rrXL/4N/j3XaHnrf1LaL/R+laaiXMKrrvYggULOOOMM8LazjzzTBYsWMCJJ57IaaedRkFBAWPHjuX2228H4KKLLuLyyy9vntB44403MmPGDAoKCggEQtXZr732Wq6//noOP/zw5uC3q1166aXk5uYyevRoxowZw9/+9jeSk5NZuHAh1113HWPGjGHs2LG89dZbMXl9ERER6Xm5WbnNi8jU+RaKyUnN4eCBzjKNjcHw4Lp4cjFJCUmkBEPVRaqSYa+d8Na9UOCOaI/8NvTMukRnQmOgldjZNIX2e8vkRmOt7ek+dFpBQYFdtmxZWNvq1as59NBDe6hHsjv0txMREYkPJStL2HDFhVz9diMDnEIepCWlMf/U+eTfm8DE/z6PP9zxC35/1V0t7hv+gwvYlGk5tRBeeRimfNHy+a/mw3EXwW3/hF+8D7lXw7dRMmiH/ho2DnT287LyKL2qtCvfZocYY5Zba9uuPkEMR66NMSnGmPeMMR8aYz42xsxy2x80xnxpjFnh/ox1240x5r+NMWuNMR8ZY8bFqm8iIiIi0rrCUYXk1X2H2kSnykdeVl5z2b2ERGdYuqm+ZWGFwlGFZFbtRa2b9rEzyrLpEBq53pQJqUE4ZEv06/K2h/a9nO54F8u0kDrgOGvtGGAscKIx5kj33G+stWPdH69W3knAQe7PNGBeDPsmIiIiIm0YWLcntYmw5MIllF5V2lzP+pM6Z4WYZ76YH7UWdWptCg0Bp3BCVXL0Z3vB9+o9nO3E9dGvy/cF19mpHauy1lNiFlxbh1fDJcn9aSsH5UfAw+597wCDjDGdqvfWm1Nd+iv9zUREROJLcj3UmxSGpA1pbitZWcIL25yqHYEmpxb1tOenhQXYyU21ZNojSEtKY2crwfX6LGf73lAIGjj90/Dzf3PWtgsLrnuLmE5oNMYEjDErgM3A/1prvZXmi93UjzuMMd4c1KGA/3PLBrct8pnTjDHLjDHLvv322xavmZKSQnl5uYK1XsRaS3l5OSkpKT3dFREREXGl1qYTrB/GyD1HNrcVLS6ixjjlPwJuqFXdUN1c47pkZQkDkr7mi/RXSU1MZWdS9FDzi8HOtjwdSgfBweXh5wvPclJKBoUqErO1JmId9TgV0zrX1tpGYKwxZhDwtDHmMOB64GsgGZgPXAfc3IFnznfvo6CgoEUEPWzYMDZs2EC0wFviV0pKCsOGDevpboiIiIgrUF9LQ0L4wNe6inUcbNzzvkoeZRVl7HHrHpTXlFPrVgsprymnspWR6y8HhfZrkqKPUNcm0lyxBEKl/uJdtywiY63dbox5FTjRWnu721xnjHkAuMY9/grYz3fbMLetQ5KSkth///13q78iIiIi/VnJyhIGp/2DgGlg2J+HccuUWygcVUhuVi6NCWUAJDaF39OwrZy0BKe0XrU7kbG1tBBv5BqchWYSfcOl9e5gd20izbW205LSKJ5c3AXvLPZiWS1kiDtijTEmFZgCfOrlURtjDHA6sMq95Tlgqls15Eigwlq7KcqjRURERCRGpr8wnQueuoABTQ3UBeCryq+a86qLJxeTEHAyegO+gDi9Dipmw4q7neOP3TTtyAmNW92B8NKIkWtP0XEw9nJn3xu59lcq6Q1iOXK9D/CQMSaAE8Q/Ya39hzFmiTFmCGCAFYD7K+RF4GRgLVANXBzDvomIiIhIhJKVJdy97G723mHZfxt86Y4we3nVpVeVUrP/Z8AfCDRBwARotI2sclcmP8hNi/7UrQKyLTX8+YVnwoaBUOnLNqnxRaN/GwWl7mt6wfXnv/qcQEKA3iJmwbW19iPg8Cjtx7VyvQVdo5H5AAAgAElEQVR+Eav+iIiIiEjbihYXYbFs/LNz/NFeoXNenekj9zkZ+ANHZB7PErsYgPyK8Oc0uLFweURwXZ4Kq/YKb/OPXNf7YmgvuK5rrCMtIa2T76j7aflzEREREQFaLtRS4Rth9iYUJiQ5EfApOZe3Oskw6EaY5RExcU0SJBjnZF5WHhC+vLo/uG5sGkJKEGqDtfQmCq5FREREBGhZkWPHgNC+N6HQJDoRcGIwkeLJxSQltFyGsdE4QfSWyOA6EZpsU9gExcO/Dp33B9dVqdtICcLoeaNbLFQTzxRci4iIiAhAi2DZm5BoMM1tgQFOVvGq7UsoHFXIwAEDWzwnmOAE0d+kh7d7wbOXw20wHFLe8jxATVKQ1IbwCZW9gYJrEREREQGgcFQhCb5AOrvG2VosM16aAYTSQj7f6awNuLVmK+9GLPvX6EaYdRGD2nW+2X7rKtZhsRT5ZuNFy7kGJxj3Xj/eKbgWEREREcCpFpJQW998vME3KF1e4wwxJyQ7EbIJOpFvdmp2c461x38862j4w/dh0sWwOSPUnpuVS15WHv/5/VBbk+++igGQUxP++r1h9FrBtYiIiIgATrWQTDe2nlcAt0xseU0g2R1ebmpsbktuDL+mMTT4zU3Hwg3HwdK8UJuXc91azjbA6iGwTxUM8gXY3jLr8UzBtYiIiIgATqqGl4rx3lBo8KVx5KTmAKG0EOMG11trtrYMrt0I05+r7X+OtyhMaznbAGuzna1/afTIaibxqFuWPxcRERGR+JeblcuALc7y5rURUeKdJ90JhCY0mmBj8z3JjWVh13ppIRZLXlYe6yrWkZuVS/Hk4hYrLW6t2crRF8FR4Y9onkyZ1hBqy07N7uQ76z4auRYRERERwKkWMtA6xa29+tMGwxUFVzQHxd7I9fGpVzbfMyAIW3wLxnhpIXlZeZReVUrTjU2UXlUadQnz3KxcXs+H4qPD26vdbJH0UAo4lfWVcZ93reBaRERERACnWshludcDTmWPvKw8HvnxI8w9ZW7zNd7IdVnNO+TPyef8p84nuTG8JnYwgbBa1m0pnlxMWlJ4Qey0pDSaUpxo/cCtsL+7rHp9Y33c510ruBYRERGRZt9JPQaAiw76r6ijzd6ExmU1D1NW4eRyRAbXaSmZzXnVu1I4qpD5p84nLysPgyEvK4/5p85na4Izk3Hui/DFf4euj/e8a+Vci4iIiEiz4M46AD6se4uz+XWL815wfeR6S2oD3PY9J7iu9AXXGNoVWHu8yY1+/5nxS2B7i2tbW3I9Xii4FhEREZFmjTtrAUhITYt63ksLOW+V8/NVJgysg3VZoWsq6yt3qw8lK0vYTFWL9uRAcrtSTXqS0kJEREREpFmwyknHSExrJbhODoQdP/q0E1A+MbLr+lC0uIiKxGCL9szkzA6NiPcEBdciIiIi/VjJyhLy5+STMCuB/Dn5/N838wB4eN095M/Jb1GdIzK49qzeI7SfmZy5W31aV7GOhkRoiIhUt9Zs3a3ndgcF1yIiIiL9jBdQm1mGC566gLKKMiyWsooyPq96DXDqXJdVlDHt+WlhAXZiSvSsYv+ExkBCYLdK5nl51dVJ0dvjmYJrERERkX6kZGUJ056f1lzpIzFosTfBFe8551PdbIw6N4aubqgOK3+XkNgyfPzjUeGLzmyv3d4iKO8IrzzfTl9wnRJIift8a1BwLSIiItKvFC0uorqhmkllUPghHFzutF+71Nl6KyL6A9vI8neR6RrbU0LBuCcyKO8IrzzfzqTQC1036bq4z7cGBdciIiIi/YoXKL/xgDMZcdRmp/3Lwc7WC679I9GR6RjeCoye2sTQio7RXquzqpNs8/6cd+bE/eqMoOBaREREpF+JDJRHf+Nsv3LnIKbXO6PW1o0So6202BgRQVoTur6t12qvkpUlXPzMxexMDgXXFXUVXPTMRXEfYCu4FhEREelHIpcb99JCUtxc67QGZyKhf7VEfzpGycoSghERZIIlqpMPOrlTfSxaXERDU0OLCY3BpiAzXprRqWd2Fy0iIyIiItKPNAfKRecDsEe1c5hZ72y94HqvjL0onlzcIrCe9vw01kekhQSaor/Wi2te7FQfvXQSE+VceU15p57ZXTRyLSIiItKP7bnT2Wa4wXV6g5MW8nXV1y0qfniTISNHrgOtjFx3NufaSyfx187uLRRci4iIiPQz/ioeXnA9fAsMaAiNXEPLih9esByZc+2NXH/n53DyeaH2zuZcezneV58I7wyFGl+uRU5qTqee2V0UXIuIiIj0M16Na4CcmtB2+BZnQmN1K2X4vGDZqwyydD/YlhJa+nzZUHjpYGc/2kTI9iocVcgVBVcQDMCr+4dyupMSkrjzpDs79czuouBaREREpI/zL3G+x60tcy02uJVCnnrcCbIrUkLn/KPPXrC8Od05/mgvyJ4JZYPDnxdtImRHzT1lLo/++FESSSfQBEPShvDA6Q/Efa1rBdciIiIifZh/RUaLjTohcG22s/2P7U7d6wrfUub+0efCUYUYDNtSneNNGeHPSUtK49EfP0rpVaVdEgQXjirkUHM+idYJtuM9sAYF1yIiIiJ9WtHiIhKqqrn3WRjkpoCkNIRfsz4r/HiHL7iODGgttjnHemNm+H27O1odTWrAGWk/dr9ju/S5saLgWkRERKQPW1exjl+8B5d8AL9+22l79Knwa3ZG1JP2p4VEW7RlwShn+2lEhkksRpYDAaczAwMDu/zZsaDgWkRERKQPy83KbS6z15AACU1w5urwa+oiVj7xj1z7q4WAU63j/nEw7GpYmhfeHgvBgDPM/tk3n8bk+V1NwbWIiIhIH3byQSc3r75YkwTZNS2vOeXf4cfbfSPXkbWq7zzpTpIDyXzlSyVJDiTHrIpHvakF4N31b8fk+V1NwbWIiIhIH/bimhebg+smA1e+2/Ka5Mbw4y2h1dFb1KouHFXI/T+6n7ysvOYl0u//0f0xm2z4jXFGrK96+TLy5+RHTVOJJ1r+XERERKQPK6soa64TnVEPN7zu7P/0TFjwpLN/9k/g3XtD9/iD65MPOrnFMwtHFXZL5Y6SlSV8bF8CnIVqyirKuOCpC1i6bilzT5kb89fvDI1ci4iIiPRhARMgya3ukVkXan/pwND+l4PC7/Gnhby45sXYdW4XihYXUW+cnOur33HaLJa7l90dtyPYCq5FRERE+rBG29icFnLZ8lB7RWpovy4RzvwJrHarf/jrV0fmXHendRXrmpdav/H/IN39cGCxLSZaxgsF1yIiIiJ9WF5WHgPc4DqzPvo1dQF4agSM+AVkXwvf+OpXR+Zcd6fcrFyaTOj4sYWh/Z4M+tui4FpERESkD/NXC2lNQ8DdMbDNl2+dlpQWtkJjdyueXEyjL7ie/GVoPzs1u/s71A4xC66NMSnGmPeMMR8aYz42xsxy2/c3xrxrjFlrjHncGJPstg9wj9e65/Nj1TcRERGR/qBkZQmPfPAgg2rbvu6hMx8hL8spWh0wTqSdl5UXkxUXO6JwVCFNCaHoOjUYWmWyrrGulbt6ViyrhdQBx1lrq4wxScCbxpiXgF8Dd1hrHzPG3A1cAsxzt9ustQcaY84FbgHOiWH/RERERPq0osVF/PXvNXw/IoNi7eDw430y9qH0qtJu61d7TX9hOkFjw9rSGmB7KlTVV/VQr9oWs5Fr6/DedZL7Y4HjAC9j5iHgdHf/R+4x7vnJxhjfFwEiIiIi0hHrKtYx9aOW7RMuDT8+76nz4rL6xvzl85snNAKMmA4b43wV9JjmXBtjAsaYFcBm4H+Bz4Ht1lov82cDMNTdHwqsB3DPVwCxWUdTREREpB9obTLilvTw4807NzPt+WlxF2A32kYq3KXYVw2B1XuGzsVqufXdFdPg2lrbaK0dCwwDjgCG7+4zjTHTjDHLjDHLvv32293uo4iIiEhflZ6U3qKt4OfRr61uqI678nYBE+DFg2DOd+GCH4efi9Vy67urW6qFWGu3A68CE4BBxhgv13sY8JW7/xWwH4B7Pgsoj/Ks+dbaAmttwZAhQ2LedxEREZHeqGRlCZ9s+aRF+/J9Q/vvDA0/F2/l7aaNn0ZjAK4+CVbsE2qfvP/kHp1o2ZZYVgsZYowZ5O6nAlOA1ThB9lnuZRcCz7r7z7nHuOeXWGvDM9hFREREpF28UegtqREnfDPavncJBG4IHfdkTeto5p4ylysKrmiuYBIwAa4ouIJFUxf1cM9aF8tqIfsADxljAjhB/BPW2n8YYz4BHjPG/BH4ALjPvf4+4BFjzFpgK3BuDPsmIiIi0qd5o9Drs2D1EDjtpzBkZ/g1NsGpNgE9X9O6NXNPmcvcU+b2dDfaLWbBtbX2I+DwKO1f4ORfR7bXAmfHqj8iIiIi/UluVi5lFWVk1DvLmm9PdX48SQlJDBwwkK01W8nNyqV4cnHcplr0JrEcuRYRERGRHlI8uZhpz08jo76ancnh5/Ky8hRMx4iCaxEREZE+yAuc02edT1WSAuruouBaREREpI86b+R52PoLyEn6PqVXvdbT3ekXuqUUn4iIiIh0v9rttSRgyU0/sae70m8ouBYRERHpox5/60EAFiZcT/6c/LhbgbEvUnAtIiJxY/t2uOQS2LGjp3si0vuVrCxh9qu/BmBnMpRVlMXlEud9jYJrERGJG3fdBfffD3fc0dM9Een9ihYXkVhTC0CVWy0kHpc472sUXIuISNzIyHC25eU92w+RvmBdxToy6p39nUnh7RI7Cq5FRCRuDB7sbBVci+y+3Kxc0huc/ark8HaJHQXXIiISd156CbZt6+leiPRuxZOLGdzgRNVecB2vS5z3JQquRUQkbtTVOdtt2+D73+/ZvojEq5KVJeTPycfMMiTenIiZZaJWAikcVcjJKZcCzoTGvKw85p86X4vIxJgWkRERkbhRWxvaX7UKqqpCedgi4gTWP3v2Z9Q3OsnUjbYRCFUCAcKC50CV8x/VzmQFfd1FI9ciIhI3vJFrz6239kw/4smrrzo/IgAzXppBfWM9k8rgxlfh3fmQ6k5ajKwEcvzDx/Nhxf0AVCWpFF930YcYERGJG5HB9Rdf9Ew/4slxxzlba3u2HxIfymvKwcIbD4TaxnwD7+zn7HuVQKa/MJ3FXy5mgjuhcWdEKT6lhsSORq5FRCRu+NNCJJwW1hFPSjD82F9mz6sEcs/yexhWAX9wv/UIBkLXqBRfbCm4FhGRuOGNXJ9+OuTnK6D027Chp3sg8SAnNYf0+vC2gO9bDa8SSJNt4of/dtpuOCb8epXiiy0F1yIiEjdqa2HQIHj6acjNVXDtt3FjT/dA4sGdJ93ZXLvak+zMaSQ9KT0s3WO/Cgga+MPR4derFF9sKbgWEZG4UVsLKSnO/sCBCq79Nm50Ftc5+GD44IOe7o30lMJRhezRlBbWNsBNE0lJTGluS09KJ6kJ6gOACV2bnJCsfOsYU3AtIiJxo7LSCarBKcFXWdmz/YknVVXw8suwZg386U893RvpSQk11WHH3sj11pqtzW33nHoPyUE3uPbuI4H7T7+/O7rYrym4FhGRuFFZCZmZzn5yMjQ0tH19X9fYGNpvaAitWuktEy/905CmgWHHA9x/J/5c6sJRhexfO5mGhAQMhrysPB7+8cMate4GKsUnIiJxY8eOUHCdlKTguqYmtF9fH6qmkpYW/Xrp+6a/MB1qwvOlkhshOZDcIpc6vX4wDTaddVd/wrCBw7qzm/2aRq5FRCRu+EeuExMhGGz7+r5u587Qfn29kxoCSpfpr0pWlnD3srvJiqgHPyAImcmZLUalG5u2Uj+gkq+rvu7GXoqCaxERiRv+4Foj1/D556H9+vpQsH3fffD++z3TJ+k5RYuLsFiOj1hcKbkxPN/akxCspz4ASQlJLc5J7Ci4FhGRuOGf0Njfg+tvv4WJE0PHDQ3hI9nXXtv9fZKe5S3+cuBWKM0KtQ9ohOzU7BbXJzTV0xCApICC6+6k4FpEROKGP+e6v6eFPPts+HF9PZSWho7ffhuMgddf79ZuSQ/yAuh9KuFL36TWAUFnWfTpL0wPuz4QbKA+4ORjS/dRcC0iInGhocFZoVFpIY6f/zz8+N//htdeCx17q1lef337nzlvnhOQV1Tsdve6xVlnwf/7fz3di/izbyWU+UauvVJ8dy+7m+kvTCd/Tj4JsxKoSV5FQ4LSQrqbgmsREYkLjz7qbP3BdWMjWNv6PX3ZPvuEH3/5ZfTrOhIo//d/O9vestrjk0/Cn//c072IH1trtpLYCBkNsMFXjc8rxWex3L3sbsoqyrBYkqwzcj176eye6XA/peBaRETiws9+5mz9wTX039Hrgb7gKTUVtmyJft2GDbt+1rffwkknwaefOsdNTbvfP+l+uVm5pLn/PWxNhcHXOfvJvnroFsvZq2DKWkhqhIYA3LPsHkpWlnR/h/spBdciItJj6uthxAi4/fZQmz/nGuCoo7q/Xz2trg42bw4d7703fN1KNbWKCli4sO3nTZvmrO7oqa5u/VqJX8WTi8mxqQBUJ8H2VGhICC1/DoCFJxbCK4/CHtXOCo0Wy4yXZvRMp/shBdciItJjjjkGVq+G3/wm1LZ9u7P1guv33gu/5/jj4Uc/6pbu9QhrnQ8U3mqMEMqvbs3HH7d9fkf4miNhVUek9ygcVcjvRvwRcIJrcIJn/8j1UN/fesQWJ/gGZ8KjRq+7h4JrEZF+YNIkmB2HaZdvv92y7fTTnW1r6SCLF8Nzz8WuTz1tx47wGtZz54ZypI88Er773Zb35OQ4261bowfiAwaEHyu47r0mpU8BYL+s7/Hojx+lLuCMXOdl5QEwJOJbifpAaL9ocVF3dbNfU3AtItLHNTbC0qUdqyrRHfzBszdK/cADsOeezr631Dc46SPQcgS2L/IveX7FFc6P569/hRdfhHPPDb/Hy8/OyQl9OPHr7cF1fy7J6FeysoTL/3cSAP8KvsWMl2bQ0DiQkVWFlF5VSl5WHoNrwu+pTQzte3WyJbYUXIuI9HHr14f2/Sv+9bRvvnG2SUmh4Mk/ic8/Auulihx0UPf0rSd5wfW114YqZXgj07m5kJ0dykPPz3e2jY2hDyv+3GpPckSZ494QXPurxNTUtH5dX1eysoT8OfmYWYbznzqf1ErnE2Z1kpPqUZu2g7omJ2gunlzM4Nrw+7emhvZzs3K7q9v9moJrEZE+zgtiAQ48sOf6EWnTJmc7enSorbXgequ7srM3yW+//dp+9jPPwEcf7X4fe4IXSI4bBykpzv4HHzhB8x57OMcB96v+ww5ztnV1oQ8g0QQC4ce9Ibj2vq2A/htcl6wsYdrz06jdUMZod0LrC39ztl66R30AKhLfock6JWAG15qwZ3jBdYJJoHhycXd0u99TcC0i0sc1Nu76mp7gVb/wB9d77RXa96eFfPWVsx0+3Nl6QWdrzjgDxozZ/T72BC+QTPWNOO63H5xwQujYC5a9dJr6+tAHkGiy3AVH1rlZAVVVXdPXWPJ/uOqv1U2KFhdR3VDNB/fAh3eHnysd5GzrApDU1EDg5gBTn55KVm14YXgvuG6yTSxdt7Qbei0KrkVE+rjI4HpXlSe6izdyPWJEqG3vvUP7/n56QaG3YEpfrH1dUQHFxaHA1x9cR/KCZS8/va4OFixo/fraWielZNgwZ4XG3jBy7f/799eRay9Heh/v30Q9/F8evJELX7slK/3VQppsU3MdbE95Wmh//vL5Me6xgIJrEZE+LzK4Li3tkW60sGmTE+j5A2ovtxjghz8M7Xsj196ExraCa//77U2rO/72t/C738FjjznHaWmtX3vmmTBnDtx6q3NcX+8sjw6w//4tr6+pcUb7jYH0dAXXvUVkjvR+OyCjHip8E1TrEqFgI4xxP6ymBCHoywz55wGh/UYbp19j9TEKrkVE+rjISgv//GfP9CPSpk1ODvE55zgVLmbNggTf/yudcYYTYCUnO8FgMBgKCtsKrv0pBL0hiPR4Hxzudr/+b2vkOiEBZsxwctSNcX5P3t/ZW4THr7IylErTG4PrF16Ahx5yShTG06TcWIvMkT5nFfzHNqjyTVCtDzgj2yvucY5TglCTFDr/bUZoP2Aiku8lJmIWXBtj9jPGvGqM+cQY87ExZobbfpMx5itjzAr352TfPdcbY9YaYz4zxpzQ+tNFRKS9IkeuV63qmX5E2rTJGbVOSoKnn4Ybbmh5TXKyc372bHjkEactIaHt4NqfT3zHHV3b51iKrOjRVnDtMca5r74+9L69wLm2Fu69F+67DxYtCk0CtRaefLLr+h0r/uD6hhvgoovgiCOcSbmRCwv1VYWjCgEod/8t3PwaDK6FSv/ItS9eLvgKUhvCy+/5TRs/LTYdlTCxHLkOAv/PWjsCOBL4hTHGy6y7w1o71v15EcA9dy4wEjgRmGuMPmKJiOyuyOA6Xr5i37QJ9tln19d5weLPfuZsDzig7eDaXzUjWsAeb5YudRaHiZyQmJ3dvvsHDHCCa+/35I3cX3cd/PzncOmlzvnLLnPaN2+G8nL49tuu6X+stDU3YPny7utHT/JWVNwRUaf89E9D+9t8H8Le/x/Yf3vrwfXcU+Z2cQ8lmlZ+/bvPWrsJ2OTuVxpjVgND27jlR8Bj1to64EtjzFrgCCDK+l0iItJekcF1bW3067pTZaVTKs+/QEp7HXhgaIJjNNOnhx9b64zwxqsLL3RSHSIroHiTFXclOdkJRL2Ra++DxxdfhF93+OHhx1u2wJAhHe9vd2kruPYqzfR13oqKKRGpXbdODO1vjsjN37vKCa6PuDR8hNtbwVFir1tyro0x+cDhwLtu0y+NMR8ZY+43xgx224YCvqUO2ECUYNwYM80Ys8wYs+zbeP/YLSISB+Jx5PqLL5zgadKkjt+7775tj1y/9lr4cTy837Z4/authYMPdvbPPLP9HwgGDHDujcxHj/wdeRNHi9003vvu63yfu8Odd7Z+zpu82deVVZSBhUERH4j/a0Jo/9v08HP7VEJNIrw/DD51PzylJaWpxnU3inlwbYzJAJ4ErrLW7gDmAQcAY3FGtv+rI8+z1s631hZYawuGxPNHbhGROBGPI9deH9qqiNGawYOhqan1+t2DBoVSICBUGzuevPuuU4Lw4INh48ZQ+/DhTrrGE0+0/1kDBzrfBHgj197iK/5FWCBUE/tkd6bTf/1XfKeGeFVTIo0Y0T/SQkpWlmAwpNdDahD+eFTonPVFb5HB9d47w9NCclJzmH/q/Ob8bYm9mAbXxpgknMC6xFr7FIC19htrbaO1tgn4H5zUD4CvAP+aW8PcNhER2Q3xHFzvajGYaLwaz9FGr611gszs7NBI7fr1LSum9KQXXnByrFevhjVrws+VlTkVVBI68P/OgwY5eebeyLUXVLc2uu/P5Y73UX1wvonwT8I96aRQaca+rGhxERbL1luc47XZcPAv4aiLw6/bnN7y3sicawXW3SuW1UIMcB+w2lr7Z1+7f/rKGYD3n8xzwLnGmAHGmP2Bg4B+Mh9YRCR2IgPLeAiodie49u6JFjx6JekyM53Sfh5vwZp44F+O3vP00862sx82tm8PjVw3Njq/3zffDF3jz7/2VyGJHN2OF/6/bXY2jBwZOh440Jm0GU8fmGKhrKIMgGRnVXM2p8OaPeBNX+r0iD1G8K377c+7vkTaRl90V15THuOeSqRYjlxPBC4Ajosou3erMWalMeYj4FjgagBr7cfAE8AnwMvAL6xVtXMRkd3V10auk9wavtGCay/AzMhw6jl71q9veW1PycgIP5461anzvXBhx9JBPIMGOekdwWAozeb668Ov8S8s4/+dx+uy4uW+eHCAOylv2TJnZN+r490blnDfHZE1qT+IqKxzRcEV7GzYSYX790xtgJ+c5exnxOmHpv4iltVC3gSiTcd4sY17igFl3IuIdKHI4PqTT+APf4Df/75n+gMdC67LyuCnP4W33nKOvZHXyA8J1jq5x+AEYD/9qTNie8MNTvm5eBEZ0A52p/WfeWbnnjdoEGzYEHpWdTV8/HHr1/eG4Nr7O0Ko/vf48c524EBnu2OH8977qkbbSII7av3nI0PLnYNT+WPuKXNJmJXAnu6HyA/2gXeGOfsPjenevko4rdAoItLHRZv4F+v6z8uXw6uvtn6+I8F1bi689FLo2AuuKipCbW+/7YxUP/ywc5yR4eQtX+zmp8ZTcO2NuF56qbP1pzx0xqBBoRQJL1D3B6eREn3DavEaXPu/lRgQUePZ+/u39R77grysvOYSfF/7vu0wmObKH7lZuXyTCeOnwRWnwPpBkH0t/PWI0PU5qTnd2GsBBdciIn1ea1U17r7bqboRCwUFcNxxrZ/vaFrIwIGhdABvQqM/uL78cieX/KabnGMvyPSKSsVTVQwvuJ4zx1kp8ZJLdu95/tFb7323lTLhL/EXr8ug+3PBI4Nr79+Bt1x8X1U8uZjBOF/TeBMUDYbLCy5vnqBYPLmYtKQ0/rUv1Lgj/NvSaM4bSEpI4s6T2qhpKDGh4FpEpI9rLbi+4orWy511lfJW5lJ1Jud640YnoI4MrlescBak8dt3X2c7YIAzir1lS/tfJ9aqqiAQcPKjf/zjjlUGicb7fUCoEoi1obYxbaQIxOvItT+49nLsPd6HicgVLfuawlGF3Dx2NgA1Sc5I9iM/fiRslcXCUYXMP3U+eVl5GAw5qTnkpOZgMORl5fHA6Q+oUkgPiFnOtYiIxAd/VYXMzPCv02Mx+ucfDd+8GXKifCvdmeDamwjoBZNe36MFiF5wDc6odzxNfquocP4OXbVqpH/k2tv3PlCdey7cdVfr98ZraoUXXO+zT8sJoN7KlfH0bUSsTM4+GZjBhfs+zP9cdUHUawpHFSqAjjMauRYR6eP8I9eZmeHnAuEFCXbbG2+EP7O1kdGKCmfENvIr//aIzLmONvLrXQNOLna8BNfV1U4pvvYubd4e/uB6r72cbWUlfO97sGBB9A83nk9w798AACAASURBVK5aRvy11+Css1r/lqSjvOB6wYKWH0K8VJ94yqOPlb+84yx/PmfrVBJvTmT6C9N7uEfSHgquRUT6OH/AEzkK2NU1r+fNa9/zly2DUaM6lxLhvQcvXziyasill4YHZBkZ8RFcr1zpBPp//3togZuusJ9v+TXvuTt2hNezbo1/dcj2WLIkejrGscc6+ePbtnXseZHWrYPZs0PBtVcpxC8jw/nGo63gumRlCflz8kmYlUD+nHxKVpZ0ybXdafoL03mj1KnNWJvoVA+Zt2yeAuxeQMG1iEgf5wXX48bBjTeGn1u6tGtfKzIYam3kevXqtnOB2+LVcq6udgLr885zji++OPr1GRnxMXHPv8qgN8LcFUaMCO17wXVlZftSbjoSXNfXw+TJMGlS69fs7u/55JOdGt2ff+4cRwuujXEmbm7fHv0ZJStLmPb8NMoqyrBYyirKmPb8tKhBc0eu7W7zl89nmrvMe0VKeLvENwXXIiJ9nBdcL13asuzbO+907WtFpnlEC64bGpygLi+v5bn2SE52AqzqanjxxdDqi17QHZmaEA8j16WlzuqRngkTuu7Z/lF6f4pIe4Lr1gLUtq5dvTrUtnkz/M//hI53N7j26nPfc4+zjRZcQ8u5A34zXppBSkU1l70PuBM7qxuqKVpc1OLaosVFVDdU89d/wPY/tX1td2u0jRi3/2/tF94u8U0TGkVE+jgv2AwEwoOv5OSOBVft0Z6R66++ciY95uZ27jWMcQLp8vLwhVeOPBL++teWJQAzMpzgtif5V0iEzo/at+a22+Af/wjPd28rLWTtWjjjjI5NaPWXPgQndzwyvaWrPsSsXOlsIyuFeDIzo79WycoSymvKef8RKNgELx0E69x/8+sq1rW43mubvix6e0/xRs4H1sHHQ6DJNxQauXKjxB+NXIuI9HGtBdfXXeeM/nVlrevIketoOddekOaVjeuMtLSW+d0TJzoB3/nnh7fHw8h1pNZGZDvrmmucSYX+4LqtkesDDnBy3lsLrnfsgF/9Kvz35g+ua2pg1qyW93V1+k1rv6eMjOgj196Ic4H7bUa6r6RfblbLT3ORbd6KiNGu7S5eqgpAZj3siPhvatr4aT3QK+kIBdciIn1cMOiM9iYkhFcLGTQofMnw3bVtmzMhDeCFF5xttJFrLwBLT+/8a0UblU1JiV6Foz8E1572BtfQdmrFrFnwl7/AI4+E2ry/KTjfPkT7XXf177mjaSGRI84ZvuDaW9XQ7+SDTg47Huim7nxT9U2P5V17qSq/fR1O+Bwqfb+DKwquCKtzLfFJwbWISB/X2BgKurzqHCecEL4YS13d7i8ocvjhTiWMIUNCqRnRAqCuCK69/Gq/1oLJ/hRc+6uv7Cq4Hjiw9ZHrl192tv5vF7zVL8FZlCfae+iukevW0kIiR5zT3WXUc1JzotaCfuLjJ8KOs9zKM7WNtZz/1Pk9UpljXcU6sFC8xDmu9I1cT8yd2O39kY5TcC0i0sf5g2twSqk991x4cD1mzO4FuwBlZc42KckJ7DIyoi/04dVW7s7guqEhfNW/ntYdI9d77NH2tQMHOtVWov1ePvnE2XqTJRsaws+Xl4dP0PTsTg6/f1VJT2s511lZ0UsCesuBezLqnSXDfzLyJ1GfU15TTqavlGPpnTDUl/4yb9m8bh/Bzk7Nbg7yIXzk+vJ/XN6tfZHOUXAtItLHNTZCom/6+uDBTnDnD64/+6zrXs8LxPbcM3ot4qlTnW1XpYX88pdOsN3agjReXezIMoQ9qTuC613ltHu//8hvLPx58t45r+1yN7YrL3cC8wEDnH9fc+Y47buzzHy0b05a+5sOH+4E116lGE/hqEIuHHNh83FGPVgsD334UIsg+fiHjwcgsrLdrf8bfnz+U+d3a/3r2mAtub4A/72hof2q+jj7CkaiUnAtItLHNTSEB9cef3Dt2Z0V9rzSerfd5mz32suZYNiaaKPP7eW/95prnHSEXS1IM3t2519vd/iXn/d0R3DtX6UyGn+98D/9CRYudI79qzZ6QbUX+A4b5myXLnVGrlNSnN/7jBlOqsbuBNeRKURff936v5FDD3W2a9e2PPfimheb970Jjf7yeiUrS8j4zwwWf7kYgIMiRsDPWwUT3NTt1HowTXRb/euSlSXsbNjJcPf3+MBYeODwmL6kxICCaxGRPi4YjP71uhdc+7/KLy/v/OukpztLYF/oDhzm5DjPu/ji0EIvH34Yfn1n+YOuXQWqrb2nc86B73+/831oLy99wj9y3h0512ed1fa13u9w82b47W/h7LOdY39wHTlyve++cMwxUFLipPz4R5aHDOna4LqthXa8FCB/Sou30mJZRRkN7u/BP6FxXcU6SlaW8LNnf8bOhp2kNMBNrzrnaiOq201aB8lBqP7PUO5zd9S/9p5/bCkEDVxxCtT6/ts1mOg3SlxRcC0i0scFg+0fud6dnNmqqvDl1dPTnaDswQdhwQKn7eijw893lj8tZFdLiR94YGjfn9f7xBPwxhud70N7ecG1P02jO0auA7soh+wF18vcGs9efrU/PcMLqr1tWhr85jfONwV/+1t4nrv3YaqzOlK1xvuw6KUglaws4eJnLqZ2QxmBRmh030tGRCm+GS/NoL6xnunvwV9ehBv/zzk3O2LVyVsX0bw64mW+GthlFWXt72QneNVOTlwLLx8IdREfii8vUM51b6DgWkSkj+tIcB0thaG9IoPrtLSW1SO81xozZvcCTC8wvP768BUKozn/fDj3XGffG+n0p79ETtbrarXu5DT/KG93BNe74v0OvdQKb6TYP1ExMrhO/f/t3XeYVOX1B/Dv2QYsvUeKgAoqETSwKhYUxahoosaWGFSs/AQ1qGkmxlgiMaKJLTZUFBVbjDWxY48oooIoKCLSe1nK9nJ+f5x7uXdmp+702e/nefa5d+7cO/edubuzZ94573nbBE6A439OHTs2nWgmHokE15NemQTU1mHt34EHXwQKnA9RbrWQ0uJSTB49GZuqNqFVHXDXy8AFn3uPt6UNMOJ84OyTgKucSjd3vmLLihRdq1Dcaidt6oBVQWk9bYvbsgxfjmBwTUSU58LlXLdubQGWPy86keC6oiIwXaO0NLAX1D9L4m67Nf88gBfUhRvw5icCHHywrbvl2/bf37v/k08Sa0s0brCajuA6Wt65n9v7/957tnSri/iD68pKq10+erR3TG/fADt/z3Umgmv3w9Kmqk3o6nwAGDcPKHEmg2kXIud6cIgKNuWtgY/7Ao/uB/z1MOAmX8W7te0C901l3rVbd7t1PVDt+5stKSzBfT+9L2XnpeRicE1ElOfC9VyLAHvuCXz9deC+zaFqgY4/aAwOrv1TgCdaFs99PrEE14CXguIG15/7ei1vuCH8cZ9+6pUYbK5QPdfhSswlqjk917Nm2dL9JsMfXG/fbjN5ukGze8y559rSH1x36JC5nmsA6Bai2oh/hkY3paNniFrcW4LKOF47Crj2cGBuT6B/OVDk+6YjVXnXM+bPwPR50wEArRq84LpdSTtMO3FayDrdlJ0YXBMR5blwAxoBYOBA4PvvvdvNTZFoaLAA2x9ct27tBZbBDjigeedxuUFkrEGqm64SauKR1atDH6MKlJUB++wTf/v83Nd3V9/8JtFSWZornuA6uJfbTZVxP/i0bm05+P48fLe3281d79/fu69jx/CT0sQinuDa/T2rq/N6kkMF1+1qgXY1VvXD1SMouK4rAOb0CtxWXQxcdwRw40igeyUw1PftTqryrq+aeRXO+rASlTcAbeqBGudahpsAh7IXg2siojwXrucasKDTnxfd3J5rNyj3B7vhyvB99RVwVYKdf24QGeuHAbfHtaICWLky8L5wM1O6QXeiszu6E7LsvbdVDAl3LZIhnrSQvn0Db7tBtdtz3aOH9UT7e6PdDyluIPzTn3r3dexo25tbzjHUhEPh+Huu3Z7k7iF6pNvVAttvBObd620LDq5LrgbWhClb+LkzWNYfXBdKHJ9g4rBs6zLc8roF1oDXc53qQZSUfAyuiYjyXLica8B6Iv09hs3tuQ4VXIcqy3bAAcDgwfH1sIZyqFPdwa2tHY2bvlBTA7z+urf98MPDT9k9d64t4wlYQ1mwwAYLduliU4incgBlPK9rz56B+wcH1z17Wq+1P1h2U0fcAY6dOze9L54eaL81awIfLxJ/cO0Gn/2DKt00AhjiTGLkr2Xdd6s36+HXXYHg6nYTyibgsZMfAwAs6WyP43/sBk2gGHwEhVKIDb4KOm5wnapgnlKHwTURUZ6L1HNdWhr4VX4ye679ZfdcDz/cvMcPdtJJ1gPtVgGJxg2uq6u9nurvvrPKF+GCa7cmd2Oj/TTXwoXepCepFu+Hlk6dvHX3Gvp7rufMCcyPdwNo9zX0l0R073sjaIbDWK1ZA+yyS2z7+oPrArFQZvctwEZfex7dF+gbIk1l743Awm5AryuAAy4MvG9C2QTcffzdGDtkLPp17IeGQmBTaWBvd7+OMX6ii1ODNmCDb0BwTZG3nXILg2siojwXKefaHxwBNnjNX9UDsOD7448jn8MNzPw515dc0nS/aFNyx6N379hzl/09126aR69eTQdd+vmn1k7kQ8GGDXaudIi3l91f9zu459q9Vm4PPuC9ju4HJ/8gVXdGyNNPj68NrjVrotcsd/mD60a1Tz7DVwNf9QD2vhj412Dg3jJv/y96eOu7bQEWd7FUkO3O8ykpLMFjJz8WUOrOrdyxrm1gcO1uT7YCKcBm399jdQrThyi1GFwTEeW5SD3XwcH1Z58B991nPyIWWJ96KjBihJcKEEqonuuCAivz9uij3rYePZARbqWO6mpvqvRWrayKSF1d6FSNLVu89VWrmn/urVu9Xt1Ui7fn2p/yERxcX3FF+OOuvtp6/v0lFRN9js3puXanbO9QDey3FnhzN+Dr7hbgz+kFPPlDoLIoMFDtVgls9PUQF0hByGoc7jTq69sCPXc03Z5MM+bPQKM2orXvmyN/myf+d2LSz0mpw+CaiCiPPfkk8M47kdNCgjU0AHfcYevLlwMffmjrkQb2uYFZcA/5yJE2icuNN1rvb6qqZETjTwtxJ7sR8Ur0hUoN2ezL0+3QwdJQ3NciHtu2eb26qRZvcO2muxx6qH2AELHnWVLi1b0Od57gWuWJlBdU9YLrSy8Ffve7yPu75/rwQ6umsa01sMtvAnur6wuBM06zgLvYeZ5FDUDHGkv1AKzH+pGfPRKyGoc7W+LmNkDn6qbbAQuKu03pBrlOINcJuk3p1qw62O6gzA6+Moj+4Hrqp1PjfkzKnJiCaxFpK2JJTSIySEROEJEUVekkIqJkOeMMW4ZLfQjuuQYssPKnUbgiDVQL1XPtd+WVwLhxkduaSu7zOessC6TdoLp9e1u6+dV+W7ZYjz1gvc8DBwKHHNJ0v0iqq+2DR7p6ruNNC3F7rv2B8rRp1qvvT+E5+eTANJlQ/IMR460YsmGD/a716mUf7G66KfL+/t+z28fcDtQXY2NbYGPbpvvWFQJFTnDdxfn2ZZPze9/QGL6h7myJ5a2BTtVNt8+YPwPjnhuH7ds3odB5mE1Vm3DeC+dh4n8nov9t/VFwXQH639Y/asDtBuzta4ElnYD3dgU+9fXiM+86t8T6Z/gegNYi0hvA6wDOAvBwqhpFRETJ4fY+RguM/BoavDSKrVu93uZEgutM80/g4p+mvWtXW44a1XRimy1brFxd+/ZWNSNcze5I3MGi2dpz7Q4IbR00iUr79oEfvG66KXo+9L77eh+gli+PvG8wd5bMYcNi29//Dcgv9xmLwv88hA6N/SAQ9OvYD4+d/BgeO/kx9OvYD/UFFlxPmA2su8WOcXuuG7Qh7KQwk0dPRmlxKbb6gmuB7My5nvTKJDQ2NODbO4Ann/GOq22oxb1z7sWyrcugUCzbugzjXxofMcB2A/b2NcDruwOHnwcs831YYcWQ3BJrcC2qWgngZAB3q+ppAH6YumYREVEydO9uy3DB9ZAhTbfV1XnBqH8CkViC61RN650of/C4ebMXOPpTH1asCDymosKC8OBpveOZXdI9Lltzru+9F1i/vmk+fZcugQFsqPShUM45x5annhpfO777zpY/bEZkcd99QMPcsbi201I0XtOIpZctxdghYzF2yFgsvWwpulQfhqJG4GZfFZNV7b11f5qH39ghYzFu33Eobw20rbOUEoXigc8ewIz5M7CpahP23gjsug04dSEA3+DQggbFGV8A4vSY+6dfD8UN5DvUANtDzDo6fvj4OF4RyrSYg2sROQjAWAD/dbbxYxQRUZZzg+twAeGIEcAxxwRuq631gmv/oD5/yb7Vq4ETTgCee85uZ3vPtT+4XrHC+xDg9lwDTSe9qaqyoLKkJPD1i2VSmddeA444wqv1na6e63jTQoqL7XfkuusCtwfPtBhrcL3//rb056vH4ssvbRlrnWu/CRNs2bNn6Ptb664ori9Ao+/DwnLfh50ubcKXsHn6q6dR7vzudHR6r+sa6/B/L/0fAJukxlXsy9y4ZDbw+LPAOF+6Ubgg3qU1dSit92pwA9Zj7ZYHpNwR65/hZQD+AOA5Vf1KRHYD8HbqmkVERMkQS7ASHBDX1Xk9oP5A0t9zPWUK8NJLVjVCxKqMhHqsbOFv14IF3gBPf/WS4OC6stJ6uIuLA6uJxBJcH3usDSR10x2ytefaNWCADSp0y+4Fp3XEGly3bQscfDCw++6xn7uyErj/fluPp/1nnx14O1xwjcISFDUiILhe3T7MvkE2VW3aGYjv5ZsUqaKuAsctAj5+wNvWxlfp4wfO78guvr8ZN/Uj2Iz5M3D2s2ejpMZ+yfw91+OHj2dgnYNiCq5V9V1VPQHAnc7tJar6q5S2jIiIEuYOLIs05faYMYG3583zUgI2bfKCSX/v7bvv2vKrr2x55522zNbgWiRwMKLbzm7dgE8/tXV/cN3Y6PVcFxcHDgiNFlx/8IG37lYXydac62BumtBBBwVuj+e6tmkDzJwJjG1agCOkTZtif2y/44LKTe+xR+j9aoorUaSNO7M2vu8E1Pn+HjZXRe5mn9XHlmWrA7c/8Uzg7TbOB7DRA0ajscBO4A6kLC0uxeTRk0M+/lUzr0IjGnH1e3Z7my+4ZpWQ3BRrtZCDRGQBgK+d2/uKCD9KERFluepqS2v49tvw+0yYYL25rlmzgMWLbf0///G2+ytALFkS+Bju7WzNuQYsv9jl/7Cx11629OeXu4MXS0ttX/9U7l98Efk8/nJ9Tz1ly2xNCwl1/PLlwCuvBG6Pp4Si28v9+OOx7V9eHn2fUNr7ep8nTQL6hZk4sba4BkWN3izna9sF3h+uRxmwMn/u4Ed3UGPHKuCkhUBF0O+623P95tlvYkCBfWItVJvRcepPp4Ys9wd46SK/nmW3v/VlqbBKSG6K9c/wNgDHANgEAKo6D8BhqWoUERElR3W19dj27x9+HxGgT5/Abe7gvs8/97a5wXV1ddOcXLdkX6sQg7GyhX+qb39PrJv64Q4+bGgArrnG1t2e60WLvP3POAN4663w59m2zXqQf/ITb1u2luILpW/fxNobqrxjJG5e/7PPxnfc4YcDf/oTMHUq8I9/hN9vW9FqFDdafWsA2BEUFIfrUQaszJ8UFmJHsVeD+ty5wHNPAbsEfYNR6ksdaiiwfnK35zoSN7jfUAo8tB/wfn/vPlYJyU0x/xmqatA4avDjFBFRFqustBSF4FziUIKD4lBl5+qdnrkNG2wZ6mt4/3TY2cYfMPqDa5HAiiDPPQfc4pRsc4Pr4NSFhQvDn8edNOayy0KfO5WSPUnPDTcARx4Z3zH+4Hrt2uj7uz3Xu4bvQA6pbVvgL38BLrww8oeKdcXzUdQILHAqw/zux4H3h+tRdu9rU9wGjQJc8RFwzudAVydFaFPQhwg3LeSoR47CArGvfIoagWVbl+Hc588NW4pv8ujJEAU6VwFrgnrVWSUkN8UaXK8QkYMBqIgUi8hvAER4ayEiokyb5XzN7E/5CKekJLDCQ6Ovx613b1u6Pdfr19syVBm/5lR7SJd2vsBFNfA+f3DtT3kpLQ09IUqk3GY3uB4+3GpDP/VU9uaiR3PVVZY/HQ9/cD1wYPT9Vzu5zKn63aksrERRI1DSADyxDzDXNzlLv45hckkcM+bPwI7aHTurgvzxfevBLm8FdAuaRdJNC5n5/Uw4HdcodP6O6hrrMOmVSWHP0762AEUKbPG9dqMHjOZgxhwVa3B9EYCLAfQGsArAfs5tIiLKUm5vXqyBXbjgJji4dnuu99kncL9YB7Blighw88227p95EgCWLbMc4dpamwbcNWSIVyN8wABv4Oa993q1mYO5wXWnTnbs6acn93lkO38+eyyVVd5803qtU/WtR2NBEYobgD7bgJVBue+RUkIAb1ryWufDVIHaLIrbWsFL4na08aWFjHcGyfbz1UffVBV65OakVyahW4VF4Vt8JSPnrp0bsW2UvWKtFrJRVceqak9V7aGqZ6pqxPG9ItJXRN4WkQUi8pWITHK2dxGRN0TkW2fZ2dkuInKHiCwWkS9EJMZ5moiIKBS3dN777yf2OO5EK8E912edZVVDLrrIbpeVJXaedHDTM4LrfruB3bZtwDffeNv32cfr0Z86FbjkEktHmDcPOPBA2/7008Dvf+8F21u3Bg62S7fCQiuRmCvWrbPSfclOaQGs57m2sB4FAFo3BE4e07a4bcSUEKBpbeoCtZ5rt6LHWt9067e8DnSqAmY8YxPLAE0rjISyqWoTTnB+52b3DtxOuSnWaiHTRaST73ZnEZkW5bB6AL9W1cEARgC4WEQGA7gSwExVHQhgpnMbAMYAGOj8jAdwT1zPhIiIAri9hv6BfM3hBtduzrUbXPfsCRx2GHDUUXY71qmrM6mtEwwFB9dXXGHLujqv1rPL3Tf4WDcP++c/t7rfbg76pk2Bk9OkW309cP31mTt/u3bR9/HbujV1OelXzbwK9b5IZ6OvXndlXWXTA4K4gw0rnW9/RG2KcrcW9QEXAuNOsvWh64H/PQj88kvv+J6+nvu2xb5IPEjfrcCOYmB+lCnmKTfEmhYyVFV3FstR1S0AfhTpAFVdo6qfOevbYTnavQGcCGC6s9t0AM6vJU4E8IiajwB0EpFdQEREzeL2XMfTi3rSSU23uaXV/D3XrVp5j3vKKZY3e1gO1JByA+TgtBA3dWbpUutJPfJI4D2n7rD7ocLNJfZPKBPKhg2Bk9O0NF2CJjwMlbPut3Vr4h8Aw1m+dTnqfJFOlS9FKlIJPpebNuL2VBc1Wkk+9/aKTsAj+wGXOrXiB28MPL60HmjjfBira6xrMqhx4n8nAgC6VQYG/oCVAaTcFGtwXeCmbwCW2gEgwpQEgUSkPywY/xhAT1V1MtiwFoA7p1JvAP6KJCudbcGPNV5E5ojInA1u4h8REQV4+mkvXSOensQHHmi6zc059gfXPXoEfo2/S450hYTruXaDa7fk3u9/D4wcaevu4M5YZincscN7fVqqvn0Db0ebCr28PHU917t23BU1vmilylkXSNR8a8CrJPKVcz37bAcGlAPrgzqh/3kgsOtlgdt+dawtuzsd5LUNtTtzuF33zrkXQ9cCZ3/h5XW7bh9ze9T2UXaKNbj+O4BZIvIXEbkBwIcApsRyoIi0A/BvAJepakBlVFVVABrywDBUdaqqlqlqWffu3eM5lIioxZgwwVtvG/7b6Cb8vY5uwPwj53vK4OA6F0XruXYrhQQHiEDT4DrUQNEFC6ynuyX/ezrtNBs4euutdttNIwrl3Xctzz24ekuyHDfwOKzz/f5XO8H1kQOOjJpv7SqUQpx5MvCmk5ffvRIBj+la4/uGaHFnYJnTG9/Nl32yfOtyTPzvRBRdXwS5TqBQnO7Mcro9qBxmrO2j7BPrgMZHAJwMYB2st/lkVX002nEiUgwLrGeoqlsefp2b7uEs3T+7VQD8b2d9nG1ERBQnf/Abz5TY/t7oU08Fvv4a+OMf7XZDg6V/vPKKN2V4rgnXc+3OLPn997bs3eR709CTowQHhe6gxnTVtc5GhYXAb34D7Luv3Y5UZ90dPOqfmj6ZXv725YAZGd3gevHmxTE/xvjh41HeBrjpUG/bOt9jurnU9b6/s30neKkj7X0f5IoLinHPnHsCZl5s7aQdnXFKzE2iLBcxuBaRDs6yCyyoftz5Wetsi3SsAHgQwEJV9c+d9CKAcc76OAAv+Laf7VQNGQFgqy99hIiI4pBIz/L77wO33WaD9Pbc03poCwqsR9atmZ2rPbPR0kI2brTnGipP3e25/vRT4KCDLPfanVb+oINsuXRp4HlaMvd3JFIGp/sNQrwT1cRq+dblIYPr4Cogkbi1pjf4vrn40vf3VVFXsbNetls9pLIEqHB+p9r6cvRrG2ux22ZL2xrqTLDTqdqqmHzbzduvXUmco0Ipq0TruX7cWX4KYI7vx70dySEAzgJwpIjMdX6OA/A3AD8WkW8BHOXcBoCXASwBsBjA/QAmxvlciIiyjmrgpCTpkkjwe+ihwKRJQGtfzd3CQuu5rqqy288/n1j7MiVaWsgrr9g+ocrCua/HsGFe2s3dzhwfbjqN2/Mdb8WMfBQtuK6o8OqGxztleqx27bgrNvmCYje4jmUwYzB/kP7a7oH3TR49GQLB4IuBoc5Yhwrn25C2QR/kzp4HnLYA+JkzFV+n6sD61gVSgHt/cm/c7aPsETG4VtWfOD3Qh6vqbr6fAaq6W5RjP1BVUdWhqrqf8/Oyqm5S1dGqOlBVj1LVzc7+qqoXq+ruqjpEVaMF70REWW/qVKvh+/HHmW5JYtzgepszcqZbt8j7Z6toPdeAV2UlmD/gdkvt3e6MOXMHgt5/vy0ZXHuvUbjg+sILvZ7/VAXXk0dPRl1b78Grim0w43EDj4vrcbq26Yp17YFBlwBFVwNaEHjf2CFjcVHZRSgvlZ3lELtXIwAAIABJREFU9HY4wfXTzwBvTvf2/6GTDNvB+YDXowIo9wXXbYraMN86x0XNuXYGHf43DW0hIso7775rS7cKRbpUVNhyWrQZCWLkBtfuFOEdOkTeP1u5qR2XBVV2iDSL5fz5wMMPB24Lzqn+QVB9YqaF2EyNXbrYB4/LL296/zvveOsFsZZXiNPYIWNRNuDgnberiwCFYvq86U3K4kVy+5jbUYACfNsNaPDlVhdK4c6qHncffzcePflR9OvYDwLZmRYCAKO/99Z322LLbpXAsd8CI5cDC33fNFXUVcT1HCn7xPrr/JmI7J/SlhAR5SF3wFsqZp+LpLISGDUKOPfc5DxeUZHlXLs917k6YK+w0K7J5KAqbJGC6332AcaNC9wW7fmz59rssYcNgr3ttqb3rV2b+vPPmD8Db33/1s7bblpIZV1lk7J4kYwdMhaPnPxIQO3prm26YvrPpgf0Mo8dMhZLL1uKR09+dGdaiKtvOdC2xpsSvVsl8IoT3z+yb3zPi7JbrLWqDwRwpogsBVABQGCd2kNT1TAionzgBtfBaQipVlmZ3HJ5hYWWp3zNNXbbn4+dDyIF16GECq7btPFy0tlzbQ45BJg929ZVAz9kpqr8nt9VM6+C+ir++nuT4xnUCFjgHGu6xqRXJu0M5F3/mwb09RUk3sU3e+O8nqA8EmtwfUxKW0FElKfcAKK8PPJ+yVZZGdukJ7EqLASeeML7kJDunvhUKymJvo9fqOC6tNQLrnO1DniyjR3r1buuqUn/hzI3gL7JKfVX54t6mjOoMVabqjZZN6SPP7CuKQT6lwNr2gFv9we2+14XzsyY+yIG1yLSGsBFAPYAMB/Ag6pan46GERHlg9WrbZkPwbWbEjIlpinEcotbC7ykBFgcQwlkf9rH1Km29A/KaxU0IUhLNWyYt15Z6QXX7qyXqbZrx12xbOsyXPnjwO2xztCYqF8dC9zxatPtc3oBhzhzUq/2lX0sLijmzIx5IFrO9XQAZbDAegxspkYiIorBpk3eV+LV1ek9dyqCawDo2RP47W+T97jZos6pRbz33qFnZwxWUGDXdvNmq3oBeK/3Rx+lpo25SAS45x5br/TNVJiuv4fJoyejtDjwD0EguKjsopRW5HB7n+8cATwcIp96oa/ajr9SyGH9DmOlkDwQLbgerKpnqup9AE4FMDINbSIiygvvvOOlUbjLVE717FdRkdy83yLne84uEacPy13u9Ykn93r//YHOnb3bbnAdb/52vnMry1T4imC46TOpNnbIWEz96dSdFTz6deyHR09+dOfEMKly+5jbUSj2ifTGEJHTd76/I39w/c7Sd1LaLkqPaDnXO+cVUtV6ybckOyKiFGlsBKb7atuuWGE1fQcNAo4+Gnj11dTlLaumrufaH0zmk333teoqt9zS/MeYPh3485+tugh53N9Df891uoJrIL6BiMk8JwCc+eyZWBSiJvznvtKNb/pmDfFPi065K1rP9b4iss352Q5gqLsuItuiHEtE1GLddRfw0ku2/oMfAM8+a4E1ALz+uvdVeSrU1FiAnczg2g2GcrW+dTStWwNvvw0MH978xxg61GaujHdwZL7LdHCdKeEC+j8dAazwDYj9xhd8u73dlNuizdBYqKodnJ/2qlrkW8/Tt1giosT5pzwPFeT+PUUjWF5+2WaEDHfe5lqzxpax5CMT+bkDPf0BtbvepQvw3nvpb1O69OvYDwDQf5K3berwwOnO/VVFxg8fn56GUUrFWoqPiIjiUOR7dw2V/tGpU2rOO3GiV6EkmcG1azz/91Oc3MopNTXeNje4fuQRYGQej+aaPHoyznz2TCzrBPxzf2Bra2BDOwAK/GswsDyopGOqc8EpPRhcExGlgD+4DlUZwR9oJFPnzsCyZbaeiolMenKyC4pTpODaX74wH40dMhZnP3c2GtGIS4/33SHA6acH7sv61vkj1unPiYgoDoW+1Mng4LpDBy/QWLPGerb9gx8T4R9wmMzKHvvvb8vu3ZP3mNQytOTgGgD+b/j/Rd2npLCE9a3zCINrIqIUcIOHiRObDt7q1MkLNBYutOVDDyV2vjVrgFmzgHXrvG3JrOzx2muWG5tv055T6rX04Pru4+/GhLIJOwcrFkohRg8YHVAecNqJ01jfOo8wLYSIKAW2b7cqIXfdBdx7b+B9nToBa9faujtTXWECRQJ27AB69Wq6PZk9150753duLKVOqOB6+3Zbtm/fdP98dPfxdzOfugVhzzURUQps2+aVrQue6tnfc93glLUtSODdeMOG0NvztSY15ZZQwfVf/2rLVA3sJcok9lwTEaXA9u3he+U6dvQCjWT0XG8LmnVgyhTgzTcZXFN2CA6uGxqARYtsPV/rplPLxp5rIqIU8AfXt94aeF/37jbI8dRTvYAjkeDa/YrdNX685Ugn0htOlCzBwbX/95VTxVM+4lsvEVESDBkCXHKJd9sfXF92mddTBwD9bF4J/PvfwLx5tp5IIBzcc83eQMomRUVWEccNrsOlMRHlCwbXRERJ8OWXNnjRFZwWssce3rq/QkJ5uS2TmRYSatIaokwRsSnhKyrs9qBBmW0PUaoxuCYiSoHg4FoEeOYZ4MEHA8vZub14ifRcb9zoradi4hiiRNXUWHqUqrfttdcy1x6iVGJwTUSUoNpab33BAgsgtmxpOqDwlFOA884LDLrXrLFlIj3Xb71lqSbl5d7jEWUjtzoOwPQlyl8MromIEuQO2AKAF14ANm8G6uqsznUow4d765s327K5PdeVlcBzzwEDB1oVkpZSN5hyy29+A5SWBpbj69gxc+0hSiUG10RESbRwIdCtm63vskvoffbc01vftMmWzQ2uJ02y5XffNe94onQoKbFvePzBNXuuKV8xuCYiSqIZM7z1cD3XJSXeuttz3dy0kGXLbBk8qJEom5SUAPX1VoLSxeCa8hWDayKiBAQHtf7ZGPfeO/rxbgWF5vZct2vXvOOI0sn9QOmvcc3fXcpXDK6JiBJw/PHeuj+XGrDJYmLV3Mk03ADFX4WBKNu44xL8wTVLRlK+YnBNRJSADz7w1vv08db9Na9DWb8+8LZ/UGQ8WHqPcoHbc71jR2bbQZQODK6JiJJgwoTA3ue+fSPvH9yrXV/fvPMWFdnSHURJlI2C00L8s5kS5RsG10RECXDTQv7wB5sCHbB61j/5SfRjb7zRW/fX/41H7962fOml5h1PlA7BwXUsfx9Euaoo0w0gIsplBQXAfvtZT/Vvf2vbfvOb2PJJ3WAcaH7PtRuU9+/fvOOJ0iE4uG5uGhRRLmBwTUSUgB07vLznNm2AP/859mNLS7315vZcu8clMsMjUaq5wfTKlYG3ifIR00KIiBJQUdH8kmL+4Lq5Pdfucc0t5UeUDm7P9Usv2QfBgQMz2x6iVOLbMRFRAioqml+xw9/bnEhaSGEhy5pRdnOD60WLgAMP5ABcym8MromIEuBPC4mXf8KZWNNCVAPLmbnBNVE2c4PrqipvEC5RvmJwTUQUh9paYMkS73YiaSGDBnnrsfZc//a3QPv2wPLldpvBNeUCN7gGgF69MtcOonRgcE1EFIcrrwR23x1Yu9ZuJ5IW0qmT9USPGAHU1MR2zNSptly82JYNDV6ta6Js5R/AyJ5ryncpC65FZJqIrBeRL33brhWRVSIy1/k5znffH0RksYh8IyLHpKpdRESJ+OwzW86bZ4FtVVXisyS2aWOPE4mqndPtpX73XWD2bOCNN9hzTdnP33PN4JryXSp7rh8GcGyI7beq6n7Oz8sAICKDAfwCwA+dY+4WEf67IKKss/vutvzuO6Cy0tabmxbiKi31HiucadOsnnZ5ud2+/nobGPbllwyuKfsxuKaWJGXBtaq+B2BzjLufCOBJVa1R1e8BLAZwQKraRkTUXF262HL5ci/QTbTnOpbg2u0xD4XBNWU7f3C9776ZawdROmQi5/oSEfnCSRvp7GzrDWCFb5+VzjYioqxSV2fLm24CLr3U1qMFxtHEElxHKrWnmtj5iVLNn3PdqVPm2kGUDukOru8BsDuA/QCsAfD3eB9ARMaLyBwRmbNhw4Zkt4+IKCL/wMOXXrLlqFGJPWZpaeSc69pa4K67vNvXXWcVQ1xuDzpRtvL3XBPlu7QG16q6TlUbVLURwP3wUj9WAejr27WPsy3UY0xV1TJVLevevXtqG0xEFKS62ltXBc46Cxg+PLHHjNZz/f77gbd79QIuusi77famE2UrBtfUkqQ1uBaRXXw3fwbArSTyIoBfiEgrERkAYCCA2elsGxFRLPw916pA587h941VmzYWXIdL7wjume7cGbj6auCccxI/N1E6MLimliSVpfieADALwJ4islJEzgcwRUTmi8gXAI4AcDkAqOpXAJ4GsADAqwAuVtUY5ysjIkqfJ54IvO0OcExEaakF1m7t6mAVFU3P2b691dwmygUMrqklSdnUA6p6RojND0bYfzKAyalqDxFRohYtarotGT3XpaW2HDTI0k7cwV/33Qc8+igwdmzg/l272rJnz8TPTZQOrGhDLQlnaCQiilFwDzKQvJ5r1/r13vpFFwH/+x+wY0fg/m6d4I4dEz83ERElF4NrIqIYharKsffeiT+uP7het67p/b/7XeBtN6CPVJ6PKBslOuESUS5gcE1EFKPNzrRYY8Z42374w8Qft00bb33t2vD7HXGELRlUUy56911g4cJMt4Io9RhcExHFaMsWW959t7etdevEH9ffcx1uUCMAvP5603rYvXqxN5Byw2GHAX36ZLoVRKnH4JqIKEZuz3W3bsl9XH9wPXeut37MMd768ccDRUVNg/nvvwc2bUpue4iIqPlSVi2EiCjfbNkCFBcDbdsm93H9U0P7g2v/5DAzZoQ+liXOiIiyC3uuiYhitGWLld5Lds6zP9Xjq6+8iWr8s0GyMggRUW5gcE1EFKP584FOnWz9uOOA8eOT87g/+hGw667AZZcB9fXAggW2vabG7vvoo+Sch4iIUo9pIUREMTj4YGDWLO/2f/+bvMfu2BFYtgz44gvgtttsUOOPfmQ913vtBRx4YPLORUREqcWeayKiEOrrgQ8+8G67gfU556TunG5JvtpaW1ZXJ6caCRERpQ+DayKiEK67Dhg5Epg9O3B78IQuyVRcbEt3IKN/KnQiIsoNDK6JiEKYP9+Wq1d720QsTSNV3Mofbs/1jh1A+/apOx8RESUfc66JiEJwK4I0NgKqQGEh8Pvfp3Z2RH/PdXk5sHUr0KFD6s5HRETJx55rIqIQ/MH11q1AQ4OV4Uslf8/1oYfaOoNrIqLcwuCaiCiEAufdsbIS+N//bH3o0NSe0+25rq21eteA9ZoTEVHuYFoIEVEIbs/19u3Wcw0A++2X2nO6Pdf+mRl37EjtOYmIKLkYXBMRheAG19u2eeupHlxYWGjLq6/2tu26a2rPSUREycXgmogoyOefA//6l63X1gIzZ9p6qmtOhxosed55qT0nERElF4NrIqIgw4Z566++6k0/nspKIaEccUT6z0lERInhgEYiogg++yzTLSAiolzC4JqIKEiXLkBZGdC2rTehSybU1GTu3ERE1DwMromIfKqqgM2bgRNPBCoqMtsWluEjIso9DK6JiHxWrbJl376B2zMxsLBXr/Sfk4iIEsMBjUREPvffb8s+fQK3P/hges6/2272s307MHlyes5JRETJw+CaiMihCkyZYuv+CWPefTd9bfjuu/Sdi4iIko9pIUREDndmxN/9Duja1ds+fHhm2kNERLmHwTURkaOy0pY/+EHg9lat0t8WIiLKTQyuiahFqagIX+LODa5LSwO3u9OSExERRcPgmohalHbtgKFDQ9/nBtdt2wZu5yyJREQUKwbXRNTiLFoUenu4nmsiIqJYMbgmInIwuCYiokQxuCYicjC4JiKiRDG4JiJyuDWmO3fObDuIiCh3MbgmInK89BKw++7APvtkuiVERJSrGFwTUYtRX++tNzQ0vf/zz4ERI1gdhIiImo/BNRG1GP761v/4R+B9VVXAypXAXnt52669FrjggrQ0jYiI8kRRphtARJQu/uB66VJv/bHHgDvvtPV+/bzt11yTlmYREVEeYXBNRC1GdbW33r69LR99FDj7bG+7P7gmIiKKV8rSQkRkmoisF5Evfdu6iMgbIvKts+zsbBcRuUNEFovIFyIyLFXtIqKWy99z3a6dLf2BNWA510RERM2VypzrhwEcG7TtSgAzVXUggJnObQAYA2Cg8zMewD0pbBcRtVD+nmtVWwYPXiwpSV97iIgo/6QsuFbV9wBsDtp8IoDpzvp0ACf5tj+i5iMAnURkl1S1jYhaJneSGACoqLDlnntmpi1ERJSf0l0tpKeqrnHW1wLo6az3BrDCt99KZ1sTIjJeROaIyJwNGzakrqVElHfcgBoAysttwOLXXwPnn5+5NhERUX7JWCk+VVUA2ozjpqpqmaqWde/ePQUtI6J85e+5vu8+4Prrbf3nP89Me4iIKP+kO7he56Z7OMv1zvZVAPr69uvjbCMiShp/z7VfWVl620FERPkr3cH1iwDGOevjALzg2362UzVkBICtvvQRIqKkcIPrbt28bYcdBnTubOujRqW9SURElGdSVudaRJ4AMApANxFZCeAaAH8D8LSInA9gGYDTnd1fBnAcgMUAKgGcm6p2EVHLs2gR8NZb3u2+fYGNGy0d5Mknbdv69V7tayIiouZKWXCtqmeEuWt0iH0VwMWpagsRtVyrV3sVQS523mXatLHlMF9FfQ7hICKiZMjYgEYionRYssRbnzfPllu22PKII9LfHiIiym+c/pyIWowPPgBatQLuvx944QUOZCQiouRjcE1EeS14BsbSUuCQQ+yHiIgo2ZgWQkR5TYOq6bdtm5l2EBFRy8DgmojyWm1t4O2Sksy0g4iIWgYG10SU12pqAm+vXx96PyIiomRgcE1EeS04uN6xIzPtICKiloHBNRHlterqTLeAiIhaEgbXRJTXgnuuR47MTDuIiKhlYCk+Ispr/uC6qgoo4rseERGlEP/NEFFe86eFtG6duXYQEVHLwLQQIsprbs/1Kadkth1ERNQyMLgmorzmBtdPPJHZdhARUcvA4JqI8lp1NVBQwFxrIiJKDwbXRJTXamqAVq0AkUy3hIiIWgIG10SU19zgmoiIKB0YXBNRXquuZpUQIiJKHwbXRJTX2HNNRETpxOCaiPIag2siIkonBtdElNeYFkJEROnE4JqI8hp7romIKJ1Y+ZWI8pYq8OqrQI8emW4JERG1FOy5JqK8tWqVLdevz2w7iIio5WBwTUR5q7rallOmZLYdRETUcjC4JqK8VVNjy379MtsOIiJqORhcE1HecoNrDmgkIqJ0YXBNRHmLwTUREaUbg2siyltuzjWDayIiShcG10SUt9hzTURE6cbgmojy1pgxtuQMjURElC4Mroko77HnmoiI0oXBNRHlPQbXRESULgyuiSjvMbgmIqJ0YXBNRHmpsdFbV81cO4iIqGVhcE1Eeae8HDjlFFvv2hXo2zez7SEiopaDwTUR5Z0nngCef97W33sPEMlse4iIqOVgcE1EeWfDBm998ODMtYOIiFoeBtdElFcaG4FrrrH1Qw7JbFuIiKjlKcrESUVkKYDtABoA1KtqmYh0AfAUgP4AlgI4XVW3ZKJ9RJS7li3z1j/4IHPtICKilimTPddHqOp+qlrm3L4SwExVHQhgpnObiChmjY3AyJGZbgUREbVk2ZQWciKA6c76dAAnZbAtRJSDvvkGWLXK1hctymxbiIioZcpUcK0AXheRT0VkvLOtp6qucdbXAugZ6kARGS8ic0Rkzgb/qCUiavHmzLHl228DAwdmti1ERNQyZSTnGsChqrpKRHoAeENEvvbfqaoqIiGnfVDVqQCmAkBZWRmnhiCinebMAUpLmRpCRESZk5Gea1Vd5SzXA3gOwAEA1onILgDgLNdnom1ElLs++QQYNgwoLMx0S4iIqKVKe3AtIm1FpL27DuBoAF8CeBHAOGe3cQBeSHfbiCh3rV5tPddlZdH3JSIiSpVMpIX0BPCc2JRpRQAeV9VXReQTAE+LyPkAlgE4PQNtI6IcNX06UFcHXHBBpltCREQtWdqDa1VdAmDfENs3ARid7vYQUW5SBX72M+Doo4EzzgCmTrVe6x/+MNMtIyKilixTAxqJiBLyzTfACy/Yz9tvA0uXWoBNRESUSdlU55qIKGYLFnjrzzxjyx//ODNtISIicjG4JqKctD6ontDpHKVBRERZgME1EWUFVeCGG4BBg4B33gEOOQSYN8+7//XXgcmTvR5rN7iuqQGWLAEefjjdLSYiImqKOddEabZgAfDrXwM33wzss0+mW5N5DQ3ApEnAa68BixfbtiOOsOVvf2tB9bJlwEknAVVVFnDfdx8wbRrQqRNQUgIMGJC59hMREfmx55ooDb75xnpmAeDaa4FXX7U0hqqqjDYrK1x9NXDXXRZY9+oVeF/79ra84gqgoADYbTfg66+Be++1gPvii9PfXiIiokhENXdnEC8rK9M5c+ZkuhkZs3Wr9d6tWgX87W9AEb+HyEoLFwKDBwMXXgjcfjvQowfQti2wbh3w9NPAaadluoWpU1kJtGkDWFl7o+rdrq8HevYENm8GtmyxnmjA1rt0sfW99rKA+te/tt/xm24CWrUCRoyw9BEiIqJ0EJFPVTXqVGXsuc5hl15qPXp//zswa1amW5ObFi+2wM21fDkwY0bzH6+2FrjsMuDGG4EdOyyA/t//7L777wdKS237ffdZr+z113s92s21eXPTbXfeCVx+eWKPm4iNG61EXufOwNChlt5RWwtMnAgMGQK8/77td+ut1v5//9sLrAE7bto0W3evzymneOkiNTXALbek7/kQERHFij3XOWyPPYDvvrP1Bx4Azj8/s+3JRf4eVBGgsNBul5cDHTvG/3gPPth0hsDiYps58Gc/A156yYLpHTssAP7d7yzgvvFG69meP98G5i1ebAGnmxYRzquvAmPGALvsYtN/AxbEtmpl6+n+81YF/vpX4E9/iv2Y4cOBDz+03OlgQ4faazJmDPCf/9i2Z58FunUDRo1KSpOJiIhiwp7rPLdtmwXWPXrY7bvvBu65xwaHVVV5QTeFd+653vrzz9tMf661a+N/vI8/tp7Z4LzhujrguOMsKKyqst7s1q0tmC4uttSJSZMsyD7wQLuOb7wBdOgAnHhi5AD50UdtuWYNcOihtvz8c+/+N96I7zls2AB89FF8xwCWxjFqlLXfDawvuAB48kl7XU86ydt32jSga1dbP+qo8IE1YL3+q1YBL79sOdcFBcCppzKwJiKiLKaqOfszfPhwbYnq6lRfekkVUH39ddWDDrJ1QPXii1V797b1lSsz3dLs9MEHqied5L1m/p+ePW35zjuxP15Vlerw4d5jvPGGak2NakOD6tKlqg89pLpiRehjZ89WffDBwDb8/OeBt598UrWiwtq9dm3g8f7zAqqXXtr0OTU2xv5czjzTjvn3v2Pbf8sW1enTm55z48am+27erPrPf6rW1qpWVqo+8IBqeXnsbSMiIsokAHM0hviUaSE56PjjrScPsEGNDz5oudfBpk0L7J3NlNpaq0PcpYvX0x6socFLyUi1gw/2ctTfe89SMD780Hpa27Wz8nhDhgAvvgj07x/98f7xDxtsBwCHHw688ooN4ovHJ59Yb/mKFcCECXZNL7zQ7rvgAssFf/11u71uHbBokW0bO9bymfv3D6ycUVAANDba+mOP2X6AfeNxwgn2/C680No5cKB33IgR1gPvvjYjR9r5evZs2uY5c4DDDvMqnuy+O/DQQ/aYZVG/NCMiIsotsaaFZLz3OZGflthzXVER2Muqqrpjh+qxx6qeeqpt79NHtaBA9U9/ymxbVVXnzvXae8ABTe8vL/d6W1980Xo0ly5VXbUq+W1pbFQdP97Odfjhqo8/3rRXt7FRddw42+fyy23bhg2q69fbNwbB+x5+uO175JHJbWtlZeiedUD1sMMCbz/1lB3z3HPW9jfesN7h6mrVvfe2fX79a9Vnnw39eJ99plpfr/r006rdutnvD6B60UWqQ4bY+mmnqW7dqrpsmT1uY6PqUUfZfV26qN5wg103IiKifIUYe64zHiAn8tMSg+tzz7Wr9tBDqtu3B9730Ud234knqvbrpzp2rG2fPVv14INVFy1KXbsaG+3n449Vr7hC9a23VO+9V3XYsMBA7sgjLQCsq7O0lT33DLy/V6/A2z/9aWLtWrdO9YUXVN98U/WCC7zHnT078nGnnWb73Xijd8wZZ6jOmqV61lmWDuG+3rE8XnP5P5zcfXfTwHjvvS0QD+fDD7193WAYUG3bNnzw/s9/BqYahfr5yU9sefPN8aWdEBER5SoG13lq8GC7amvWNL2vsVH1zjutl9XtUT3qKNWiIlufODGxc3//vWpxsWrXrqqjRnlB1ZIlqnvsET4QO/BA1fPOC9xWWOitP/KI96Eh1M/q1d7zi1V9veWfh3q8Cy6Ifvzmzap77RW+TaecYq9Bly6pz23v39/O+f339sEFsLbV1sZ2vPs7A6hOmOBt/+471auvtg9eIt4+K1bYByNA9eij7Xao16BNm9C51URERPmIwXUK1dRYoJMJ++9vKSDRDBzYNBgqKEgsELzllsDHmz1b9dVXwweg7s9dd9nx991n6Qn+QPztt73H/+Yb1eOPt4F7n3zipXBMm2YfDAC7L5TqatXbb7dA9PbbVV9+2fbv3Fm1Y0fVVq0s7SQeVVXWizt+vPUOn3iipU34n9uddzbrpYzLypX2nBob7UPD22/b843VmjVeez/5JPQ+q1bZ9Zw7125XV6vec499UHN9+qnqww+rlpWpHnGE6syZzX5KREREOSfW4JoDGpvhuutsCutvv7Va0+ny8ss2mPH004Gnnoq875VX2kx2t95qE24cfzyw7742eO3pp61k29FHB87g14plAAAR50lEQVSc59qyxauf7J/Y4/zzvYk9gn32mZWSa9UK6NcP+OMfbcDdjTdaaTr/7JEffGDtu+ceG1gXjirQu7e11eU+9xUrrITdnnvafhMn2pTYfkVFNuCztDTyaxUrVRuc+f77wNKlVkZv7NjcmBlz40a7rv7Bi0RERBS7WAc0MrhuhrPOsgoMt98O/OpX6Tlnfb0FcwBwxhnA449H33/rVq+eMGBVJx580LvdsaPNJtimDXDeeUD37jaxifucOnSwIPugg+z2yJFWgeK11+w1eP55275gAbD33sl5nsHOPDNwxsQePYBzzgGmTLFA/v33gTvusOvRr59NyuJWzRg6FJg3LzXtIiIiopaFk8ikUJcutpw/P33n/P57W/boYYFlNEVFgYE1YL3FroMOsuD7uutse48eVkbODazPOcfKth18sG1/6ikrV3f44Vau7rnnrOdYNXWBNRD4HO66C1i/3nv+NTXAAQdYYH3QQRZIT5zo9a7vt1/q2kVEREQUCoPrZti+3ZaLF9uyogKYPNl6cCsqbFa5KVMs8IzkuuuAv/zF1mfPtlrVoY5ZscKbPfDFF4E+fZrX7j32AO67z3qeP/zQ0jYuucR6eAGrawzY7I4PPWT1kN3tv/gF0Lat9XS74q3l3By//70FzBUVXt1nwHqpXQMGAFOnetOV//KXNgX3HXekvn1EREREfkwLaYbTTgOeecbyVxctskk/gvN9AWDmTODIIwO3LVkC/PnPwJdfeikLF14I3H+/t8+NNwLvvAOMHm25zE8+6d1XW+ulhySTKjBuHFBdbTnZgH14ePxx4JhjbHr1yy/PfG/wlCmWO/yXv1gudmFh0+nGiYiIiJKNOdcpdOyx1vtbWmq9yn36eLPU+Y0aBTz7LPCf/9jsdX/9q/UYb9kS3/kGDbKBfMcd5+U/ExEREVH6xBpc50Cdg+yzdastKystyK6qsqmphw0DVq8Gli0DvvgCuOoqYLfdgPJy79hWrSxd4eKLLdWhsNAGEx51FPDTnwJ1dVZNY+BAm4Z61Chg8OCMPE0iIiIiihN7ruOkaoP/qquBHTu87Vu2BJatUwX22svSRgALkm+8ERgxIq3NJSIiIqIkYLWQFFm3zmoGH3ust+200wIDa8DqR995J3DDDUBDA/D22wysiYiIiPId00LiVFJiE7MMH26DGk84IfyELkcf7VX5ICIiIqL8x+A6Tl26eOXo1q+3YDvULIdERERE1PIwuE5A9+6ZbgERERERZRPmXBMRERERJQmDayIiIiKiJGFwTURERESUJAyuiYiIiIiShME1EREREVGSMLgmIiIiIkoSBtdEREREREnC4JqIiIiIKEkYXBMRERERJUnWBdcicqyIfCMii0Xkyky3h4iIiIgoVlkVXItIIYC7AIwBMBjAGSIyOLOtIiIiIiKKTVYF1wAOALBYVZeoai2AJwGcmOE2ERERERHFJNuC694AVvhur3S2ERERERFlvWwLrqMSkfEiMkdE5mzYsCHTzSEiIiIi2inbgutVAPr6bvdxtu2kqlNVtUxVy7p3757WxhERERERRSKqmuk27CQiRQAWARgNC6o/AfBLVf0qzP4bACxLXwsDdAOwMUPnJg+vQ3bgdcgevBbZgdchO/A6ZI98uBb9VDVqz25ROloSK1WtF5FLALwGoBDAtHCBtbN/xrquRWSOqpZl6vxkeB2yA69D9uC1yA68DtmB1yF7tKRrkVXBNQCo6ssAXs50O4iIiIiI4pVtOddERERERDmLwXXzTc10AwgAr0O24HXIHrwW2YHXITvwOmSPFnMtsmpAIxERERFRLmPPNRERERFRkjC4JiIiIiJKkrwJrkWkr4i8LSILROQrEZnkbO8iIm+IyLfOsrOzfS8RmSUiNSLym6DHOlZEvhGRxSJyZYRzjnMe91sRGefbXiIiU0VkkYh8LSKnhDi2VET+69z/lYj8zXffrs5z+VxEvhCR45LxGqVDkq/DNBFZLyJfRjlnyOslIkeKyGci8qWITHfqqIc6foCIfOwc/5SIlPjuO933XB5P5LVJp2Rdh3CPE+acIa+XiJzmHNsoImHLMEXbz/m72BH8e5LNkvn34Nxf6Lwv/CfCOcO9L00WkRUisiPCsZHel24VkbnOzyIRKW/u65IJSX5vWioi853XYk6Ec0b8XyIid0S5HsOd8yx29hVn+1O+a7FUROY293VJtyRfh04i8ozz+7pQRA4Kc85w/yPE+btY5Bz/qzDHX+IcqyLSLcT9+4tIvYicmshrk07Jug4isqfvd3GuiGwTkcvCnDPcdRgt9r96roh8ICJ7hDg20nvTFc7z+EJEZopIv2S+Vs2iqnnxA2AXAMOc9fawyWgGA5gC4Epn+5UAbnLWewDYH8BkAL/xPU4hgO8A7AagBMA8AINDnK8LgCXOsrOz3tm57zoANzjrBQC6hTi+FMARznoJgPcBjHFuTwUwwVkfDGBppl/fdF8H577DAAwD8GWE84W8Xs7rvgLAIGe/6wGcH+YxngbwC2f9Xt9rPxDA577r2iPTr28G/h5CPk6Yc4a8XgD2BrAngHcAlEVoc8T9ADwD4F/BvyfZ/JPMvwfn/isAPA7gP2HOF+l9aYTTnh0R2hv2fSlov0th8xBk/DXOxLUAsBQh3teD9on4vwRAGYBHo1yP2c51EwCvhLkWfwfw50y/vhm6DtMBXOD7fe0Uz3UAcC6ARwAUuOcK0+YfAegf6ro7j/8WrITwqZl+fTNxHYJei7WwiVbiuQ6LAOztrE8E8HCI4yPFTEcAKHXWJwB4KtOvb970XKvqGlX9zFnfDmAhgN4AToT9AcJZnuTss15VPwFQF/RQBwBYrKpLVLUWwJPOYwQ7BsAbqrpZVbcAeAPAsc595wG40TlPo6o2mZFIVStV9W1nvRbAZ7Dp3gFAAXRw1jsCWB3zC5FhSbwOUNX3AGyOcspw16srgFpVXeTs9waAUN8gCIAjYYFbQNsAXAjgLuf6QlXXR2lL1kjWdYjwOKHOGfJ6qepCVf0mhjaH3U9ETgLwPYCwk0plo2T+PYhIHwDHA3ggwinDvi+p6kequiZKeyO9L/mdAeCJSI+VbZJ5LWIU9n+JiBQCuBnA78IdLCK7AOjgXDeFBYEnBe0jAE5HDl2LZF0HEekI+0D/oLNfraqG+jYl0v/0CQCuV9VG91xh2vy5qi4N85QuBfBvADnz/wFI2d/DaADfqWqombMjXYeoMU+k9yZVfVtVK51dP0Lo96y0ypvg2k9E+sM+aX4MoKfvH8paAD2jHN4b1uPpWonQwUTI/USkk3P7L87XHP8SkYjndI75KYCZzqZrAZwpIithn4YvjdLmrJTgdYhVuOu1EUCReOkFpwLoG+L4rgDKVbU+6HgAGARgkIj8T0Q+EpFjQxyf9ZJ1HYIeJ21EpB2A38O+EcpZSbgOt8GCscYI+8T6/hVViPcld3s/AANgvXU5KQnXQgG8LiKfisj4MPtEuhaXAHgxyoed3s4xoY53jQSwTlW/jaHNWSfB6zAAwAYAD4mlSj0gIm1D7BfpOuwO4OciMkdEXhGRgXG2vzeAnwG4J57jsk0S/1f/AuE/6EW6DhcAeNmJec4C8DdEEO69yXE+7FuejMq74Nr5R/xvAJep6jb/fc6n/1TXHiyCfWr6UFWHAZgF4JZwO4vlAT8B4A5VXeJsPgP2tUgfAMcBeFREcupaZfo6OOf4BYBbRWQ2gO0AGuJ8mCJYasgo2DW53/fhKSck6zpEepw0uBbAraoaNjc12yV6HUTkJwDWq+qnqWtlwPlCvS+5fgHgGVWN9+8pKyTpb+JQ5/19DICLReSwOM7fC8BpAO6MvdVh5dw3CK4kXIciWBraPar6IwAVsDSGeLQCUK02Jff9AKbFefxtAH7v9nznoiT+jygBcAIsdS9elwM4zol5HgLwjwjnCfveJCJnwtKtbm5GG5IqpwK2aESkGPZLMkNVn3U2r3O+XnO/Zov21c0qBPZw9gGwSkQO9CXsnxBuPwCbAFQCcM//LwDDxAYiucdf7ztuKoBvVfU237bzYXnAUNVZAFoDaDKIIlsl6TqEe+y+vtfxIoS/DlDVWao6UlUPAPAeLK8LIvKac/wDsOvVSbzBjjuPh32yflFV61T1e+f4uHo2MilZ1yHU44S4Ds1p30PO8S9H2fVAAFNEZCmAywD8UUQuac45MyFJ1+EQACc4r8GTAI4UkcfieF8K17Z43pdckXqnslqy/iZU1X2PWQ/gOQAHxPHe9CMAewBY7FzPUrEBXsHXYhUCv94OuJbOe9bJAJ6K+4XIsCRdh5UAVqqq+03aM7D/tTH/j3Aewz3/cwCGOuf3/4+IpAzAk851PBXA3WIpbDkhyf+rxwD4TFXXOcfGdB1EpDuAfX3X8SkAB8f73iQiRwG4CsAJqloTY5tTJmT1hFwkIgLLvVqoqv5PPS8CGAf7mmEcgBeiPNQnAAaKyADYL8MvAPxSVb8CsJ/vfF0A/FWckbQAjgbwB1VVEXkJ1tv5FiwHaYHTy7MffETkBlh+0QVBbVjuHPewiOwNC643RH0RskASr0NIqroCgdehCCGul3NfD1VdLyKtYGkFk53HOCaozW/D3hifDGrb87CeoYfERogPgg0Qy3rJug7hHif4OjSHqp4b434jfe25FjYA7J+JnDtdknUdVPUPAP7gPOYo2ICiM527o74vRXjceN6XICJ7wQZKzorU3myUxL+JtrABcNud9aNhebsxvTc5/0t+4Ntvh6q61RGCr8U2ERkB+7r+bAT2dh8F4GtV9aeOZL0k/k2sFat+s6faWA33f23M/yNg7/FHwMZzHA6nAyb4f0SENgzwnedh2EDj52M5NtNS8L864FuUOK7DFgAdRWSQ2hipHzttivm9SUR+BOA+AMeGy5tPO82CUavJ+AFwKOzriy8AzHV+joPl1M4E8C2ANwF0cfb/AexT6zYA5c56B+e+42B/ZN8BuCrCOc8DsNj5Ode3vR+sp/QL59y7hji2j9Pehb72uqOeBwP4H2w07VwAR2f69c3QdXgCwBrYAIqVCF/tI+T1gn01tBDAN7CvvMK1eTfYqPzFsG8aWjnbBfb11AIA8+FUFMmFn2Rdh3CPE+acIa8XLCdxJYAaAOsAvBbm+Kj7wVJEcqlaSNL+HnyPOQphqoU494d7X5riPF6js7w2xLFh35d8r//fMv26ZvhvYjfYe/M82ADbSP8jov4vQeRqIWUAvnSO/ydgsyo79z0M4KJMv66Z/JuABV9znMd6Hk5lnFivA4BOAP4Le3+fBetBDXX8r5zz1sMG2z0QYp+HkVvVQpJ5HdrCvgXuGOWc4a7Dz5xrMA9WLWq3EMdGipnehP3PcLe/mOnXl9OfExERERElSV7lXBMRERERZRKDayIiIiKiJGFwTURERESUJAyuiYiIiIiShME1EREREVGSMLgmIspRItLgTLLwlYjME5FfS5TZXEWkv4j8MtI+RETUfAyuiYhyV5Wq7qeqP4RNvjAGwDVRjukPbxINIiJKMgbXRER5QG1msvEALhHTX0TeF5HPnJ+DnV3/BmCk0+N9uTPN8M0i8omIfCEi/wfY1Mci8p6z35ciMjLcuYmIyMNJZIiIcpQzdXa7oG3lAPYEsB1Ao6pWi8hAAE+oaplv+vSfOPuPB9BDVW8QkVaw2WFPA3AygNaqOllECgGUqur29D07IqLcVJTpBhARUUoUA/iniOwHoAHAoDD7HQ1gqIic6tzuCGAggE8ATBORYgDPq+rcVDeYiCgfMLgmIsoTIrIbLJBeD8u9XgdgX1gKYHW4wwBcqqqvhXi8wwAcD+BhEfmHqj6SkoYTEeUR5lwTEeUBEekO4F4A/1TL9+sIYI2qNgI4C0Chs+t2AO19h74GYILTQw0RGSQibUWkH4B1qno/gAcADEvTUyEiymnsuSYiyl1tRGQuLAWkHsCjAP7h3Hc3gH+LyNkAXgVQ4Wz/AkCDiMwD8DCA22EVRD4TEQGwAcBJAEYB+K2I1AHYAeDsNDwfIqKcxwGNRERERERJwrQQIiIiIqIkYXBNRERERJQkDK6JiIiIiJKEwTURERERUZIwuCYiIiIiShIG10REREREScLgmoiIiIgoSf4fg4DIL7DIdREAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,7))\n",
    "plt.plot(df['Open'], 'green', color='blue', label='Training Data')\n",
    "plt.plot(test_data.index, predictions, color='green', marker='o', linestyle='dashed', \n",
    "         label='Predicted Price')\n",
    "plt.plot(test_data.index, test_data['Open'], color='red', label='Actual Price')\n",
    "plt.title('Tesla Prices Prediction')\n",
    "plt.xlabel('Dates')\n",
    "plt.ylabel('Prices')\n",
    "plt.xticks(np.arange(0,1857, 300), df['Date'][0:1857:300])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#test_data['Date'][0:1856:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f4d08ecc6a0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,7))\n",
    "plt.plot(test_data.index, predictions, color='green', marker='o', linestyle='dashed', \n",
    "         label='Predicted Price')\n",
    "plt.plot(test_data.index, test_data['Open'], color='red', label='Actual Price')\n",
    "plt.xticks(np.arange(1486,1856, 60), df['Date'][1486:1856:60])\n",
    "plt.title('Tesla Prices Prediction')\n",
    "plt.xlabel('Dates')\n",
    "plt.ylabel('Prices')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Microsoft Stock Market Analyis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>OpenInt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1986-03-13</td>\n",
       "      <td>0.06720</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.06720</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>1371330506</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1986-03-14</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>409569463</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1986-03-17</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>176995245</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1986-03-18</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>90067008</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1986-03-19</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>0.07533</td>\n",
       "      <td>63655515</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Date     Open     High      Low    Close      Volume  OpenInt\n",
       "0  1986-03-13  0.06720  0.07533  0.06720  0.07533  1371330506        0\n",
       "1  1986-03-14  0.07533  0.07533  0.07533  0.07533   409569463        0\n",
       "2  1986-03-17  0.07533  0.07533  0.07533  0.07533   176995245        0\n",
       "3  1986-03-18  0.07533  0.07533  0.07533  0.07533    90067008        0\n",
       "4  1986-03-19  0.07533  0.07533  0.07533  0.07533    63655515        0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"../input/Data/Stocks/msft.us.txt\").fillna(0)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['Close']].plot()\n",
    "plt.title(\"Microsoft\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Microsoft Cumulative Returns')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Comulative Return\n",
    "dr = df.cumsum()\n",
    "dr.plot()\n",
    "plt.title('Microsoft Cumulative Returns')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Microsoft Autocorrelation plot')"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "lag_plot(df['Open'], lag=5)\n",
    "plt.title('Microsoft Autocorrelation plot')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARIMA (AutoRegressive Integrated Moving Average) for Time Series Prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'2017-11-10'"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Date'][7982]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f4cf968eac8>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train_data, test_data = df[0:int(len(df)*0.8)], df[int(len(df)*0.8):]\n",
    "plt.figure(figsize=(12,7))\n",
    "plt.title('Microsoft Prices')\n",
    "plt.xlabel('Dates')\n",
    "plt.ylabel('Prices')\n",
    "plt.plot(df['Open'], 'blue', label='Training Data')\n",
    "plt.plot(test_data['Open'], 'green', label='Testing Data')\n",
    "plt.xticks(np.arange(0,7982, 1300), df['Date'][0:7982:1300])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def smape_kun(y_true, y_pred):\n",
    "    return np.mean((np.abs(y_pred - y_true) * 200/ (np.abs(y_pred) + np.abs(y_true))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'list'>\n",
      "Testing Mean Squared Error: 0.343\n",
      "Symmetric mean absolute percentage error: 40.776\n"
     ]
    }
   ],
   "source": [
    "train_ar = train_data['Open'].values\n",
    "test_ar = test_data['Open'].values\n",
    "\n",
    "# https://machinelearningmastery.com/arima-for-time-series-forecasting-with-python/\n",
    "history = [x for x in train_ar]\n",
    "print(type(history))\n",
    "predictions = list()\n",
    "for t in range(len(test_ar)):\n",
    "    model = ARIMA(history, order=(5,1,0))\n",
    "    model_fit = model.fit(disp=0)\n",
    "    output = model_fit.forecast()\n",
    "    yhat = output[0]\n",
    "    predictions.append(yhat)\n",
    "    obs = test_ar[t]\n",
    "    history.append(obs)\n",
    "    #print('predicted=%f, expected=%f' % (yhat, obs))\n",
    "error = mean_squared_error(test_ar, predictions)\n",
    "print('Testing Mean Squared Error: %.3f' % error)\n",
    "error2 = smape_kun(test_ar, predictions)\n",
    "print('Symmetric mean absolute percentage error: %.3f' % error2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f4cf9638668>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,7))\n",
    "plt.plot(df['Open'], 'green', color='blue', label='Training Data')\n",
    "plt.plot(test_data.index, predictions, color='green', marker='o', linestyle='dashed', \n",
    "         label='Predicted Price')\n",
    "plt.plot(test_data.index, test_data['Open'], color='red', label='Actual Price')\n",
    "plt.title('Microsoft Prices Prediction')\n",
    "plt.xlabel('Dates')\n",
    "plt.ylabel('Prices')\n",
    "plt.xticks(np.arange(0,7982, 1300), df['Date'][0:7982:1300])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "#test_data['Date'][0:1856:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f4cf95a8240>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,7))\n",
    "plt.plot(test_data.index, predictions, color='green', marker='o', linestyle='dashed', \n",
    "         label='Predicted Price')\n",
    "plt.plot(test_data.index, test_data['Open'], color='red', label='Actual Price')\n",
    "plt.title('Microsoft Prices Prediction')\n",
    "plt.xlabel('Dates')\n",
    "plt.ylabel('Prices')\n",
    "plt.xticks(np.arange(6386,7982, 300), df['Date'][6386:7982:300])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Thank you for looking at this notebook, if you have any suggestion, please do not hesitate to comment below!**"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
